Optical compensation films having positive birefringence for liquid crystal display

ABSTRACT

A method for controlling positive birefringence in an optical compensation film (positive C-plate) having high positive birefringence throughout the wavelength range 400 nm&lt;λ&lt;800 nm is provided. The method includes selecting polymers with optically anisotropic subunits (OASUs) that exhibit the buttressing effect, wherein the OASUs may be disks, mesogens or aromatic rings substituted with birefringence enhancing substituents. The method further includes processing the polymer by solution casting to yield a polymer film with high birefringence without the need for stretching, photopolymerization, or other processes. These optical compensation films may be used in LCDs, particularly IPS-LCDs.

1. FIELD OF THE INVENTION

The invention relates to optical compensation films with positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm for use in optical devices such as liquid crystal display (“LCD”) devices, optical switches and waveguides where a controlled light management is desirable. More particularly, the optical compensation films are for use in an in-plane switching LCD (“IPS-LCD”).

2. BACKGROUND OF THE INVENTION

LCDs are used as display screens in many common applications including digital clocks, microwaves, laptop computers, calculators and other electronic devices. LCDs offer advantages over luminescent display technologies such as cathode ray tubes (CRTs) because they are lighter, thinner and require less voltage and power to operate.

LCD screens have good picture quality and contrast when viewed directly, i.e. at an angle that is perpendicular, or normal, to the plane of the screen. However, picture quality and contrast decline as the viewing angle increases. Image degradation occurs because the LC cell is birefringent and splits the entering light beam into two light beams (ordinary and extraordinary) that propagate through the LC cell in different directions and different speeds. The ordinary and extraordinary rays move in different planes, at different speeds and have different indices of refraction (n_(o) and n_(e), respectively). The ordinary ray travels in a direction parallel to the direction of the liquid crystals, while the extraordinary ray travels in a direction perpendicular to the direction of the liquid crystals. Since light beams at different angles experience different retardations, poor image quality occurs at higher viewing angles. Optical compensation films are used to improve the image quality at high viewing angles by correcting for the variation between ordinary and extraordinary indices of refraction of the light beams passing through the LC cell.

An IPS-LCD device is a type of LCD with LC molecules that lie in-plane, i.e. parallel to the substrate and parallel to each other. An IPS-LCD generally includes a liquid crystal (LC) layer having positive or negative dielectric anisotropy a pair of glass substrates sandwiching the LC layer, and a pair of polarizing films sandwiching the glass substrates and the LC layer together. The LC layer is applied with a lateral electric field that is parallel to the substrates to control the direction of the LC molecules for image display. In the off position, the molecules of liquid crystal lie parallel to the glass substrates and to each other and the cell's electrode pair. When a voltage is applied across the electrode pair, the LC molecules can all rotate freely through 45° to align themselves with the field, while remaining parallel to the substrates and other molecules above and below them.

Since IPS-LCDs have molecules that are aligned in-plane, light moving through the LC parallel to the plane of molecules plane of the has a higher index of refraction than light moving in the direction perpendicular to the molecules. Thus, light passing through the IPS LC cell has the relationship n_(∥)>>n_(⊥), or n_(e)>>n_(o). In other words, light moving parallel to the LC molecules in the x or y directions on a Cartesian plane has a higher index of refraction than light moving perpendicular to the LC molecules in the z direction.

Optical compensation films with positive birefringence (positive C-plates) are used to compensate for the imbalance created by an IPS-LCD by providing an optical compensation film wherein n_(⊥)>>n_(∥), or n_(o)>>n_(e). The optically anisotropic units in positive C-plates are aligned perpendicularly to the substrate in general so that light moving in the z direction has a higher index of refraction than light moving in the x or y direction.

Birefringence, Δn, measures the difference between the indices of refraction of the ordinary and extraordinary rays:

Δn=n _(o) −n _(e) =n _(⊥) −n _(∥)

An IPS-LC's cell has a birefringence characterized by n_(∥)>n_(⊥). Thus, the positive C plate needs a birefringence characterized by n_(⊥)>>n_(∥) to compensate the IPS-LC cell. The greater n_(⊥) is compared to n_(∥) in a positive C plate, the greater the difference in their refractive indices and the higher the birefringence of the compensation film. High birefringence in a compensation film creates a more effective C plate.

The concept of a positive C-plate is known in the art as are some compositions of positive C-plates such as polystyrene. However, polystyrene compensation films are limited because n_(⊥) is only slightly higher than n_(∥). Thus, polystyrene films are poor compensators for LC cells, and a relatively thick polystyrene film is needed to appreciate any significant LC cell compensation.

Positive C-plates made of poly(vinylcarbazole) are also known in the art. Poly(vinylcarbazole) compensation films have higher birefringence than polystyrene films, but are photolytically unstable and decompose when exposed to light. Thus, poly(vinylcarbazole) compensation films are not a commercially viable positive C-plate because they are unstable.

Current commercial positive C-plate materials require expensive post-synthesis processing such as locking liquid crystal molecules into a perpendicular alignment by photopolymerization. Without the photopolymerization step, the film would not have the proper birefringence to function as a compensation film.

US Patent Application No. 2005/0200792 A1 discloses an in-plane switching liquid crystal display comprising a negative biaxial retardation film and a positive C-plate as a viewing angle compensation film.

US Patent Application No. 2005/0140900 A1 discloses an IPS-LCD comprising a positive A-plate and a positive C-plate. No chemical composition of the positive C-plate is disclosed.

US Patent Application No. 2005/0270458 A1 discloses a multilayer optical compensation film comprising optically anisotropic first and second layers, wherein the second layer includes amorphous polymer with a glass transition temperature above 160° C., and the indices of refraction satisfy the relations |n_(x)−n_(y)|<0.001 and n_(z)−(n_(x)+n_(y))/2>0.005.

U.S. Pat. No. 5,189,538 discloses a liquid crystal display comprising a film having light transmission properties that includes a uniaxially stretched polymer film with positive intrinsic birefringence.

U.S. Pat. No. 6,115,095 discloses an in-plane switching LCD comprising a first compensation layer having positive uniaxial, optical anisotropy, and an optical axis extending perpendicularly to the substrate. No chemical compositions of the compensation layer are disclosed.

U.S. Pat. No. 6,175,400 discloses a broadband cholesteric optical device having a broadband cholesteric layer and a compensator in the form of a positive birefringence film whose optic axis is substantially perpendicular to the film.

US Patent Application No. 2005/0037155 discloses a retardation plate obtained by laminating a homeotropic liquid-crystal film and a photopolymerizable liquid crystalline compound to a stretched film having a retardation function.

US Patent Application No. 2005/0122456 discloses an optical film with a substrate without a vertical alignment layer and a homeotropic alignment liquid crystal film layer formed on the substrate. The homeotropic alignment liquid crystal film layer comprises a homeotropically aligned liquid crystal polymer

Thus, there remains a need for an optical compensation film having a large positive birefringence value without being subject to expensive processes such as stretching, photo irradiation, and heat treatment. The optical compensation film should be stable at ambient conditions, optically transparent, have low color, and be easy to apply onto a substrate.

3. SUMMARY OF THE INVENTION

One object of the invention is to provide polymers for an optical compensation film with high positive birefringence throughout the wavelength range of 400 nm<λ<800 nm for use with an LCD as well as methods for controlling positive birefringence in such a film. The LCD is preferably an IPS-LCD. In an embodiment of the invention, the optical compensation film has indices of refraction that satisfy the equations:

n_(z)>>n_(x) and n_(z)>>n_(y)

n_(⊥)>>n_(∥)

One embodiment of the invention is a method for controlling positive birefringence in a compensation film for liquid crystal display by selecting a polymer having controlled negative segment birefringence. The polymer may have a polymer segment with a polymer backbone, a light-stable optically anisotropic sub-unit (OASU) attached directly to the polymer backbone via at least one covalent bond. The polymer segment may have negative segment birefringence which is controlled by selecting an OASU such that R/D>about 2.7, where R represents the maximum dimension of the OASU in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the polymer backbone between the attaching points of two neighboring OASUs. The selection of OASU affects the rigidity and long-range linear corkscrew shape of the polymer backbone such that the average orientation of the OASU is perpendicular to the polymer backbone, and the higher the perpendicularity of the OASUs, the larger the value of the negative segment birefringence of the polymer segment. The method further involves processing the polymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof such that the polymer has a negative segment order parameter (O^(s)) and the polymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.

That method includes polymers with a moiety of

wherein R₁, R₂, and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, wherein OASU is a disk-like group or a mesogen, and wherein OASU is attached to the polymer backbone through a single covalent bond. The method also includes polymers with a moiety of

wherein R₁ and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, wherein OASU is a disk-like group or a mesogen, and wherein OASU is attached to the polymer backbone through two independent covalent bonds. The OASU that is attached to the polymer backbone through two independent covalent bonds may be any of the following:

Compensation films made through this method are capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and may have a positive birefringence greater than 0.002, 0.005, 0.01, 0.02 or 0.03 throughout the wavelength range of 400 nm<λ<800 nm. In one embodiment, these compensation films may be removed from the substrate upon drying to yield a free-standing film which may be uniaxially or biaxially stretched. The free-standing film may be attached to a substrate by lamination with or without stretching.

In one embodiment, the method produces polymers that are soluble in a solvent such as toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof. In another embodiment, the polymer compositions may be used in a liquid crystal display (LCD) device including an in-plane switching liquid crystal display device. The LCD may be used as a screen for a television or computer. The polymer compositions may be homopolymers or copolymers.

The OASU used in this method may be a disk, wherein the disk comprises a fused ring structure, which may be an aromatic imide or lactam, naphthalene, anthracene, pyrene, and phthalimide, or any of the following structures, where the disk is attached to the polymer backbone via a carbon atom on a benzene ring or a nitrogen atom on an imide or lactam group:

In one embodiment, homopolymers may be produced as a reaction product of any of the following monomers:

Exemplary polymers include poly(N-vinyl-4-tert-butylphthalimide) and poly(2-vinylnaphthalene). In one embodiment, poly(2-vinylnaphthalene) is prepared by emulsion polymerization so that it may have an average molecular weight of greater than 300,000 g/mol.

In one embodiment, compensation films made using the method of controlling birefringence with disk OASUs may be capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and may have a positive birefringence greater than 0.002 or greater than 0.005 throughout the wavelength range of 300 nm<λ<800 nm. In another embodiment, these compensation films may be soluble in a solvent such as toluene, methyl isobutyl ketone, cyclopentanone, or a mixture thereof. Disk-containing compensation films may also be used in a liquid crystal display device, including an in-plane switching liquid crystal display device. The LCD device may be used as a screen for a television or computer.

In another embodiment, the OASU used in the method for controlling birefringence is a rod-like mesogen. In one embodiment, mesogens have the structure:

R¹-(A¹-Z¹)_(m)-A²-(Z²-A³)_(n)-R²

wherein A¹, A², and A³ are each independently aromatic or cycloaliphatic rings. The rings may be all-carbon or heterocyclic, or the rings may be unsubstituted, mono- or poly-substituted with halogen, cyano or nitro groups or alkyl, alkoxy, or alkanoyl groups having 1 to 8 carbon atoms; wherein Z¹, Z², and Z³ are each independently —COO—, —OOC—, —CO—, —CONH—, —NHCO—, —CH═CH—, —C≡C—, —CH═N—, —N═CH—, —N═N—, —O—, —S—, or a single bond; wherein R¹ and R² are each independently halogen, cyano, nitro, or alkyl, alkoxy, or alkanoyl groups having 1 to 25 carbon atoms, or are (Z²-A³) as defined above; wherein m is 0, 1, or 2; and wherein n is 1 or 2. Preferably, m is 1 or 2, n is 1 or 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A². Also preferably, m is 2, n is 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².

The mesogen-containing polymer compositions made by the above method may be homopolymers or copolymers. In one embodiment, mesogens are any of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on a benzene ring

In another embodiment, the mesogen has any of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on the center 1,4-phenylene:

In another embodiment, mesogen-containing polymers are a reaction product of a monomer such as:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm, or from:

In another embodiment, mesogen-containing polymer compositions made according to the method of controlling birefringence may include a moiety in the polymer backbone such as the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.01 or 0.02 throughout the wavelength range of 400 nm<λ<800 nm.

In another embodiment, mesogen-containing polymer compositions made according to the method for controlling positive birefringence may be capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and may have a positive birefringence greater than 0.002, 0.005, 0.01, 0.02 or 0.03 throughout the wavelength range of 400 nm<λ<800 nm. In one embodiment, the compensation films may be removed from the substrate upon drying to yield a free-standing film, which may be uniaxially or biaxially stretched. The free-standing film may be attached to a substrate by lamination with or without stretching. In one embodiment, mesogen-containing polymer compositions made according to the method for controlling positive birefringence may be soluble in toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.

In yet another embodiment, mesogen-containing polymer compositions made according to the method for controlling positive birefringence are used in a liquid crystal display device, including an in-plane switching liquid crystal display device. The LCD may be used as a screen for a television or computer.

In yet another embodiment of the invention, there is provided a method for controlling positive birefringence in a compensation film for liquid crystal display by selecting a copolymer having controlled negative segment birefringence where the copolymer comprises a moiety:

where R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; where R⁶ is a group wherein R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of a residue of an ethylenically unsaturated monomer; where disk is an optically anisotropic subunit (OASU) having a fused ring structure comprising at least two rings. The disk is attached directly to the copolymer backbone via at least one covalent bond, and the negative segment birefringence of the copolymer is controlled by selecting a disk such that R/D>about 2.7, where R represents the maximum dimension of the disk in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of disk and R⁶. The selection of disk affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the disk is perpendicular to the copolymer backbone, and the higher the perpendicularity of the disks, the larger the value of the negative segment birefringence of the polymer segment. The method further involves processing the copolymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, such that the copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.

In one embodiment, R⁶ may be an OASU such as a disk. The copolymer made by the method for controlling positive birefringence may also include at least two different disks. A disk may be an aromatic imide or lactam, naphthalene, anthracene, pyrene, phthalimide, or any of the following structures, which are attached to the polymer backbone via a carbon atom on a benzene ring or a nitrogen atom on an imide or lactam group:

In one embodiment, the copolymer made by the method for controlling positive birefringence is a reaction product of any or a combination of the following monomers:

In one embodiment, the copolymer made by the method for controlling positive birefringence has styrene monomers. In another embodiment, the copolymer's ethylenically unsaturated monomers include styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, and 4-t-butylstyrene.

In one embodiment, the copolymer made by the method for controlling positive birefringence is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 or 0.005 throughout the wavelength range of 400 nm<λ<800 nm. In another embodiment, the copolymer may be soluble in toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.

In one embodiment, the copolymer made by the method of for controlling positive birefringence is used in a liquid crystal display device, including an in-plane switching liquid crystal display device. The LCD may be used as a screen for a television or computer.

In yet another embodiment of the invention there is provided a method for controlling positive birefringence in a compensation film for liquid crystal display by selecting a copolymer having controlled negative segment birefringence where the copolymer has a moiety:

where R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; where R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer; and where Mesogen is a rod-like optically anisotropic subunit (OASU) attached directly to the polymer backbone via at least one covalent bond. The negative segment birefringence of the copolymer is controlled by selecting a Mesogen such that R/D>about 2.7, where R represents the maximum dimension of the Mesogen in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of Mesogen and R⁶. The selection of Mesogen affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the Mesogen is perpendicular to the copolymer backbone, and the higher the perpendicularity of the Mesogens, the larger the value of the negative segment birefringence of the copolymer segment. The method further involves processing the copolymer having a controlled negative segment birefringence by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, such that the copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.

In one embodiment, the mesogen has the structure:

R¹-(A¹-Z¹)_(m)-A²-(Z²-A³)_(n)-R²

wherein A¹, A², and A³ are each independently aromatic or cycloaliphatic rings, wherein the rings are all-carbon or heterocyclic, wherein the rings are unsubstituted, mono- or poly-substituted with halogen, cyano or nitro groups or alkyl, alkoxy, or alkanoyl groups having 1 to 8 carbon atoms; wherein Z¹, Z², and Z³ are each independently —COO—, —OOC—, —CO—, —CONH—, —NHCO—, —CH═CH—, —C≡C—, —CH═N—, —N═CH—, —N═N—, —O—, —S—, or a single bond; wherein R¹ and R² are each independently halogen, cyano, nitro, or alkyl, alkoxy, or alkanoyl groups having 1 to 25 carbon atoms, or are (Z²-A³) as defined above; wherein m is 0, 1, or 2; and wherein n is 1 or 2. Preferably, m is 1 or 2, n is 1 or 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A². More preferrably, m is 2, n is 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².

In one embodiment, R⁶ may be an OASU such as a mesogen. In another embodiment, the copolymer made by the method for controlling positive birefringence in a compensation film has at least two different mesogen groups. The mesogen may be any of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on a benzene ring:

In another embodiment, the mesogen may be any of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on the center 1,4-phenylene:

In one embodiment, the copolymer made by the method for controlling positive birefringence is a reaction product of monomers, wherein at least one monomer is any of the following:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.

In another embodiment, the copolymer made by the method for controlling positive birefringence in a compensation film is a reaction product of monomers, wherein at least one monomer is any of the following:

In another embodiment, the copolymer made by the method for controlling positive birefringence is a reaction product of monomers, wherein at least one moiety in the copolymer backbone is any of the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.01 throughout the wavelength range of 400 nm<λ<800 nm.

In one embodiment, the copolymer made by the method for controlling positive birefringence is a reaction product of monomers, wherein at least one moiety in the copolymer backbone is any of the following structures, and wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.

In another embodiment, the copolymer made by the method for controlling positive birefringence includes styrene monomers. In another embodiment, the ethylenically unsaturated monomer of the copolymer may be styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, or 4-t-butylstyrene.

In one embodiment, the copolymer made by the method for controlling positive birefringence may be capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002, 0.005, 0.01, 0.02 or 0.03, throughout the wavelength range of 400 nm<λ<800 nm. In one embodiment, the copolymer may be removed from the substrate upon drying to yield a free-standing film which may be uniaxially or biaxially stretched. The free-standing film may be attached to a substrate by lamination with or without stretching.

In one embodiment, the copolymers made by the method for controlling positive birefringence are soluble in a solvent such as toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof. In another embodiment, the copolymers are used in a liquid crystal display device including an in-plane switching liquid crystal display device. The LCD may be used as a screen for a television or computer.

Yet another object of the invention provides a method for controlling positive birefringence in a compensation film for liquid crystal display by selecting a polymer having controlled negative segment birefringence. The polymer may have a polymer segment having a polymer backbone and a light-stable optically anisotropic sub-unit (OASU) comprising an aromatic ring and at least one birefringence enhancing substituent (BES) attached to the aromatic ring, wherein the Ar-BES is attached directly to the polymer backbone via at least one covalent bond. The polymer segment may have negative segment birefringence which is controlled by selecting an Ar-BES such that R/D is at least about 2.6, wherein R represents the maximum dimension of the Ar-BES in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the polymer backbone between the attaching points of two neighboring Ar-BESs. The selection of Ar-BES affects the rigidity and long-range linear corkscrew shape of the polymer backbone such that the average orientation of the Ar-BES is perpendicular to the polymer backbone, and the higher the perpendicularity of the Ar-BESs, the larger the value of the negative segment birefringence of the polymer segment. The method further involves processing the polymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the polymer has a negative segment order parameter (O^(s)) and the polymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.

In one embodiment, the method for controlling positive birefringence includes polymers with a moiety of

wherein R₁, R₂, and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; Ar is an aromatic ring; and BES represents at least one birefringence enhancing substituent.

In one embodiment, the method for controlling positive birefringence includes making homopolymers. In another embodiment, the method includes compensation films that are capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002, 0.005 or 0.01 throughout the wavelength range of 400 nm<λ<800 nm.

In one embodiment, polymer films made by the method for controlling positive birefringence are removed from the substrate upon drying to yield a free-standing film, which may be uniaxially or biaxially stretched to further increase birefringence. The free-standing film may also be attached to a substrate by lamination with or without stretching.

In another embodiment, the method for controlling positive birefringence produces polymers that are soluble in a solvent such as toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof. In one embodiment, the compensation films are used in a liquid crystal display device including an in-plane switching liquid crystal display device. The LCD may be used as a screen for a television or computer.

In another embodiment, the method for controlling birefringence further includes controlling the degree of substitution of the BES by adjusting starting amounts of BES in a reaction mixture. The degree of substitution of the BES may be greater than 0.5. In one embodiment, BES may be nitro-, bromo-, iodo-, cyano- and phenyl-, and is preferably nitro- or bromo-.

In one embodiment, aromatic rings of the Ar-BES compensation films made by the method for controlling positive birefringence in a compensation film for liquid crystal display may be benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, or triphenyl. In a preferred embodiment, the aromatic ring is benzene. In another preferred embodiment, BES is nitro- or bromo- and the aromatic ring is benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, or triphenyl.

In yet another embodiment, the compensation film made by the method for controlling positive birefringence in a compensation film for liquid crystal display is poly(nitrostyrene). The poly(nitrostyrene) may have a positive birefringence greater than 0.007 throughout the wavelength range of 400 nm<λ<800 nm. The poly(nitrostyrene) may have a degree of substitution greater than 0.5 or 0.7 for the nitro group. The BES may have some para-nitro groups or nearly all para-nitro groups. In one embodiment, the BES has nearly all para-nitro groups and a degree of substitution greater then 0.5 or 0.7 for the nitro group.

In yet another embodiment, the compensation film made by the method for controlling positive birefringence in a compensation film for liquid crystal display is poly(bromostyrene). The poly(bromostyrene) may have a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm. The poly(bromostyrene) may have a degree of substitution greater than 0.5 or 0.7 for the bromo group. The BES may have some para-bromo groups or nearly all para-bromo groups. In one embodiment, the BES has nearly all para-bromo groups and a degree of substitution greater then 0.5 or 0.7 for the bromo group.

Yet another object of the invention is to provide a method for controlling positive birefringence in a compensation film for liquid crystal display by selecting a copolymer having controlled negative segment birefringence. The copolymer may have a moiety such as:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer; wherein Ar-BES is an aromatic ring (Ar) substituted with at least one birefringence enhancing substituent (BES), and wherein Ar-BES is attached directly to the copolymer backbone via at least one covalent bond. The negative segment birefringence of the copolymer is controlled by selecting an Ar-BES such that R/D is at least about 2.6, wherein R represents the maximum dimension of the Ar-BES in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of Ar-BES and R⁶. The selection of Ar-BES affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the Ar-BES is perpendicular to the copolymer backbone, and the higher the perpendicularity of the Ar-BESs, the larger the value of the negative segment birefringence of the copolymer. The method further involves processing the copolymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof. The resulting copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.

In one embodiment, R⁶ is an OASU. In another embodiment, R⁶ is an Ar-BES. The copolymer may also comprise at least two different Ar-BES groups. In one embodiment, the ethylenically unsaturated monomer may be styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, or 4-t-butylstyrene. In another embodiment, at least one monomer of the copolymer is styrene.

In another embodiment, the compensation film formed by the method for controlling positive birefringence is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002, greater than 0.005 or greater than 0.01, throughout the wavelength range of 400 nm<λ<800 nm.

In one embodiment, the compensation film formed by the method for controlling birefringence is removed from the substrate upon drying to yield a free-standing film, which may be uniaxially or biaxially stretched. The free-standing film may be attached to a substrate by lamination with or without stretching.

In one embodiment, the compensation film made using the method for controlling birefringence is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof. In another embodiment, the BES is nitro- or bromo-.

In another embodiment, the compensation film made using the method for controlling birefringence is used in a liquid crystal display device including an in-plane switching liquid crystal display device.

The method of controlling birefringence may further include controlling the degree of substitution of the BES. In one embodiment, the degree of substitution of the BES is greater than 0.5. In another embodiment, BES is nitro-, bromo-, iodo-, cyano- or phenyl-. Preferably, BES is nitro- or bromo-. In one embodiment, the aromatic ring is benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, or triphenyl. Preferably, the aromatic ring is benzene. In one embodiment, BES is nitro- or bromo- and the aromatic ring is benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, or triphenyl.

In one embodiment, the polymer made using the method of controlling birefringence is poly(nitrostyrene-co-styrene). The poly(nitrostyrene-co-styrene) may have a degree of substitution greater than 0.5 for the nitro group. The poly(nitrostyrene-co-styrene) may have a degree of substitution greater than 0.7 for the nitro group. The BES of poly(nitrostyrene-co-styrene) may have some para-nitro groups or nearly all para-nitro groups. In one embodiment, the poly(nitrostyrene-co-styrene) has nearly all para-nitro groups and a degree of substitution greater than 0.5 for the nitro group. In another embodiment, the poly(nitrostyrene-co-styrene) has nearly all para-nitro groups and a degree of substitution greater than 0.7 for the nitro group.

In one embodiment, the polymer made using the method of controlling birefringence is poly(bromostyrene-co-styrene). The poly(bromostyrene-co-styrene) may have a degree of substitution greater than 0.5 for the bromo group. The poly(bromostyrene-co-styrene) may have a degree of substitution greater than 0.7 for the bromo group. The BES of poly(bromostyrene-co-styrene) have some para-bromo groups or nearly all para-bromo groups. In one embodiment, the poly(bromostyrene-co-styrene) has a nearly all para-bromo groups degree of substitution greater than 0.5 for the bromo group or greater than 0.7 for the bromo group.

4. DESCRIPTION OF THE DRAWINGS

FIG. 1 is a depiction of several OASUs and the frameworks for calculating the buttressing factor for these OASUs. FIGS. 1 a and 1 b depict the OASU of polystyrene FIGS. 1 c-1 d depict the disk OASU of, poly(2-vinyl naphthalene). FIGS. 1 e-1 f depict the disk OASU of poly(1-vinyl naphthalene). FIGS. 1 g-1 h depict the disk OASU of poly(vinylpyrene). FIG. 1 i depicts the mesogen OASU, of poly[2,5-bis(p-alkoxyphenyl)styrene].

FIG. 2 is a depiction of the framework for calculating the buttressing factor for polystyrene.

FIG. 3( a) is a side view depiction of a buttressed rod-like mesogen-jacketed polymer chain. FIG. 3( b) is an end view depiction of a buttressed rod-like mesogen-jacketed polymer chain.

FIG. 4 is a table depicting O^(OASU) and Δn^(OASU) parameters for polymers with disk-like and rod-like OASUs.

FIG. 5 is a depiction of the stages of solvent evaporation during solution casting.

FIG. 6 is a plot showing how birefringence varies with the degree of substitution of Ar-BESs with nitro groups.

FIG. 7 is a depiction of the framework for calculating the buttressing factor for poly(2-vinyl naphthalene).

FIG. 8 is a depiction of the framework for calculating the buttressing factor for poly(vinylpyrene).

FIG. 9 is a depiction of the framework for calculating the buttressing factor for poly[2,5-bis(p-alkoxyphenyl)styrene].

5. DETAILED DESCRIPTION OF THE INVENTION

In one example embodiment of the invention is an optical compensation film with positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm and may form an out-of-plane anisotropic alignment upon solvent evaporation when made by solution casting. Accordingly, the optical compensation films of the invention may be aligned anisotropically such that the net optical axis of a rod-like OASU (in the rod-direction) is out-of-plane (where out-of-plane includes but is not limited to optical axes that are perpendicular to the plane), and the net optical axis of a disk-like or Ar-BES OASU (in the disk normal direction) is in-plane (where in-plane includes but is not limited to optical axes that are parallel to the plane). The optical compensation films of the invention may be used as part of a liquid crystal display (LCD) device, particularly an in-plane switching (IPS) LCD. The LCD may be used in electronic devices with display screens including, but not limited to, televisions, computers, cell phone, clocks, microwaves and calculators.

The polymer film with high positive birefringence has a moiety containing a light stable OASU in the polymer backbone. The OASU may be attached directly to the polymer backbone through one covalent bond so the moiety has the general formula:

wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, and OASU is an optically anisotropic sub-unit. The OASU may also be attached directly to the polymer backbone through two independent covalent bonds so the moiety has the general formula:

wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, and OASU is an optically anisotropic sub-unit. The covalent bond provides a direct connection between the OASU and the polymer backbone that other atoms are not positioned along the covalent bond, which would make the connection between the OASU and the polymer backbone indirect.

The polymer film may be a homopolymer or a copolymer. The copolymer may have one or more moieties containing an OASU attached directly to the polymer backbone through at least one covalent bond. The description of the invention applies to any OASU-containing homopolymer or copolymer with any combination of moieties. As used herein, the term “polymer” refers to homopolymers and copolymers.

The OASU may be disk-like, rod like (mesogen), or aromatic rings (Ar) substituted with birefringence enhancing substituents (BES). In a preferred embodiment, the OASU is oriented perpendicular to the polymer backbone, and the value of the positive birefringence of the polymer film increases with increasing perpendicularity of the OASUs.

The polymer solutions may advantageously form an out-of-plane anisotropic alignment upon solvent evaporation and solution film casting without being subject to heat treatment, photo irradiation, or a stretching process (although one or a combination of these processes may be used to further entrance birefringence). The resulting buttressed polymer films are stable at ambient conditions, have high positive birefringence and may be inexpensive to produce. Positive birefringence is defined as n_(z)>(n_(x)+n_(y))/2, wherein n_(x) and n_(y) represent in-plan refractive indexes, and n_(z) represents the thickness-direction refractive index of the film. These polymers and the optical compensation films made therefrom, each has positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm without being subject to heat treatment, photo irradiation, or stretching. However, in certain embodiments these processes may be used to further enhance positive birefringence. In preferred embodiments, the compensation films may have birefringence greater than 0.005, 0.01, 0.02 or 0.03 throughout the wavelength range of 400 nm<λ<800 nm.

Birefringence (Δn) may be measured by determining the birefringence of a film over a wavelength range of about 300 nm to about 800 nm at different increments. Alternatively, birefringence of a film may be measured at 633 nm as is customary in the art. Reference to Δn at 633 nm is customary because birefringence at wavelengths <633 nm is generally higher than birefringence at 633 nm, and birefringence at wavelengths >633 nm is generally the same as or slightly lower than birefringence at 633 nm. Thus, birefringence at 633 nm is understood in the art as indicating that birefringence throughout 300 nm <λ<800 nm is greater than or approximately the same as the birefringence at 633 nm.

In one example embodiment of the invention, the OASU is a disk. The disk may be attached directly to the polymer backbone through one covalent bond so the moiety has the general formula:

in the polymer backbone, wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens. The disk may also be attached directly to the polymer backbone through two independent covalent bonds. The covalent bond may be a carbon-carbon or carbon-nitrogen bond. For example, disks may be attached to the polymer backbone via a carbon or nitrogen atoms, such as the carbon atom on a benzene ring or the nitrogen atom on an imide or lactam. The disk-containing polymer has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm without being subject to heat treatment, photo irradiation, or stretching. The disk-containing polymer film may be made by solution casting, and may form an out-of-plane anisotropic alignment upon solvent evaporation. In a preferred embodiment, the positive birefringence is greater than about 0.005 throughout the wavelength range of 400 nm<λ<800 nm.

The polymer film may be a homopolymer or copolymer with one or more moieties containing a disk attached directly to the polymer backbone through at least one covalent bond. The copolymer may have a moiety with the general structure in the polymer backbone:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl group, substituted alkyl group, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea, or optically anisotropic subunit (OASU) attached directly to the backbone of a residue of an ethylenically unsaturated monomer. In one embodiment, R⁶ is a different disk. In another embodiment, R⁶ is a benzene ring. The disk may also be attached to a copolymer backbone by two covalent bonds.

The disk usually has a size greater than a benzene ring. The disk is usually bulky. In one embodiment, the disk group has a fused ring structure. The “fused ring” structure may be understood to have two or more individual rings that are connected by sharing at least one of their sides. Each individual ring in the fused ring may be substituted or unsubstituted and is preferably a six- or five-membered ring, which may be all-carbon or heterocyclic. Individual rings in a fused ring may be aromatic or aliphatic. Preferred individual rings in a fused ring include, but are not limited to, aromatic rings and substituted aromatic rings, lactam ring and rings based on aromatic imide such as phthalimide and substituted phthalimide. The disk group is stable at ambient conditions and thus suitable for use in an optical compensation film for an LCD.

Representatives and illustrative examples of disk groups include, but are not limited to, naphthalene, anthracene, phenanthrene, naphthacene, pyrene, pentacene, phthalimide, and the like as shown in the following chemical structures:

As one skilled in the art will recognize, polymer compositions comprising moieties with disk groups may be prepared by polymerization of a disk-containing monomer having a vinyl group attached directly to either a carbon or a nitrogen atom on the fused ring. Such disk-containing monomers with polymerizable vinyl groups include, but are not limited to, the following compounds:

Polymer compositions comprising moieties with disk groups may also be prepared by copolymerization of a disk-containing monomer with one or more ethylenically unsaturated monomers. Such ethylenically unsaturated monomers that may be used to copolymerize with disk-containing monomers include, but are not limited to, one or more of methyl acrylate, methyl methacrylate, ethyl acrylate, ethyl methacrylate, butyl acrylate, butyl methacrylate, isobutyl acrylate, isobutyl methacrylate, ethylhexyl acrylate, 2-ethylhexyl methacrylate, 2-ethylhexyl acrylate, isoprene, octyl acrylate, octyl methacrylate, iso-octyl acrylate, iso-octyl methacrylate, trimethylpropyl triacrylate, styrene, α-methyl styrene, nitrostyrene, bromostyrene, iodostyrene, cyanostyrene, chlorostyrene, 4-t-butylstyrene, 4-methylstyrene, vinyl biphenyl, vinyl triphenyl, vinyl toluene, chloromethyl styrene, acrylic acid, methacrylic acid, itaconic acid, crotonic acid, maleic anhydride, glycidyl methacrylate, carbodiimide methacrylate, C₁-C₁₈ alkyl crotonates, di-n-butyl maleate, di-octylmaleate, allyl methacrylate, di-allyl maleate, di-allylmalonate, methyoxybutenyl methacrylate, isobornyl methacrylate, hydroxybutenyl methacrylate, hydroxyethyl(meth)acrylate, hydroxypropyl(meth)acrylate, acetoacetoxy ethyl methacrylate, acetoacetoxy ethyl acrylate, acrylonitrile, vinyl chloride, vinylidene chloride, vinyl acetate, vinyl ethylene carbonate, epoxy butene, 3,4-dihydroxybutene, hydroxyethyl(meth)acrylate, methacrylamide, acrylamide, butyl acrylamide, ethyl acrylamide, diacetoneacrylamide, butadiene, vinyl ester monomers, vinyl(meth)acrylates, isopropenyl(meth)acrylate, cycloaliphaticepoxy(meth)acrylates, ethylformamide, 4-vinyl-1,3-dioxolan-2-one, 2,2-dimethyl-4 vinyl-1,3-dioxolane, 3,4-di-acetoxy-1-butene, and monovinyl adipate t-butylaminoethyl methacrylate, dimethylaminoethyl methacrylate, diethylaminoethyl methacrylate, N,N-dimethylaminopropyl methacrylamide, 2-t-butylaminoethyl methacrylate, N,N-dimethylaminoethyl acrylate, N-(2-methacryloyloxy-ethyl)ethylene urea, and methacrylamido-ethylethylene urea. Further monomers are described in The Brandon Associates, 2nd edition, 1992 Merrimack, N.H., and in Polymers and Monomers, the 1966-1997 Catalog from Polyscience, Inc., Warrington, Pa., U.S.A.

Polymerization may be carried out by a method known in the art such as bulk, solution, emulsion, or suspension polymerization. The reaction may be free radical, cationic, anionic, zwitterionic, Ziegler-Natta, or atom transfer radical type of polymerization. Emulsion polymerization is a preferred method of polymerization when a particularly high molecular weight is desirable. A high molecular weight polymer may lead to better film quality and higher positive birefringence.

Solution film casting may be done with disk containing polymer, a polymer solution comprising a blend of disk-containing polymer with other polymers, or a copolymer of disk-containing monomer with other monomers, the latter two being advantageous because they may improve film quality and lower cost. Polymer solutions may further contain other ingredients such as other polymers or additives.

Depending on the particular disk structure and polymer or polymer blend composition, the disk-containing polymers may be soluble in, for example, toluene, methyl isobutyl ketone (MIBK), methyl ethyl ketone (MEK), cyclopentanone, N,N-dimethylformamide, or mixtures thereof. Preferred solvents are toluene and MIBK.

In another example embodiment of the invention, the OASU is an aromatic ring (Ar) substituted with birefringence enhancing substituents (BES). BES could also be substituents on disk or mesogen OASUs. The Ar-BES may also be a fused aromatic ring substituted with BES. The Ar-BES may be attached directly to the polymer backbone through one covalent bond so the moiety has the general formula:

in the polymer backbone, wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens. The Ar-BES may also be attached directly to the polymer backbone through two independent covalent bonds. The degree of substitution of the aromatic ring with BES is at least 0.1, but it may also be higher. The covalent bond may be a carbon-carbon or carbon-nitrogen bond. The Ar-BES containing polymer has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm without being subject to heat treatment, photo irradiation, or stretching. The Ar-BES-containing polymer film may be made by solution casting, and may form an out-of-plane anisotropic alignment upon solvent evaporation. The Ar-BES preferrably has a positive birefringence greater than 0.005, and more preferrably has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.

The polymer film may be a homopolymer or copolymer with one or more moieties containing an Ar-BES attached directly to the polymer backbone through one covalent bond. The copolymer may have a moiety with the general structure in the polymer backbone:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl group, substituted alkyl group, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea, or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer. In one embodiment, R⁶ is a different Ar-BES. In another embodiment, R⁶ is a benzene ring.

The degree of substitution (DS) of BES on the aromatic ring refers to the average number of BES on one aromatic ring in a polymer composition. Thus, DS=1 when, on average, each aromatic ring is substituted with one BES. DS may also be greater than one when, on average, each aromatic ring is substituted with more than one BES. DS is preferably greater than 0.3, more preferably greater than 0.5, and most preferably greater than 0.7. The DS of BES is directly related to the polymer's birefringence. Thus, Δn may be manipulated by varying the DS. The solubility of the polymer can also dependent on the DS and be optimized accordingly. The DS can be readily manipulated by one of ordinary skill in the art, for example, by adjusting the starting amounts of BES.

In one embodiment, the Ar-BES-containing polymer is a poly(vinylaromatic), i.e. a polymer resulting from polymerization of the vinyl group on an aromatic ring. The poly(vinylaromatic) also has at least one BES. Poly(vinylaromatic) with BES advantageously exhibits exceptionally high birefringence values, is soluble in a variety of organic solvents, and may be used to prepare an optical compensation film by solution casting onto a substrate. The solubility and birefringence of poly(vinyl aromatics) of the invention can be controlled by incorporating certain BESs and by adjusting their degree of substitutions (DSs) of the aromatic rings of the polymers. This is highly desirable since an LCD device typically contains multi-layers of materials having different solubility in a variety of solvents and a layer can only be coated with a polymer solution that does not dissolve this specific layer. Thus, the ability to control the solubility and birefringence of a polymer allows the optical film of the present invention to be cast on a specific layer (or substrate) for LCD fabrication to achieve the desirable order of the layers in the device.

Representatives and illustrative examples of aromatic groups include, but are not limited to, benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pyrene, pentacene, triphenyl, and the like. Preferably, the aromatic ring is benzene, biphenyl or naphthalene. Most preferably, the aromatic ring is benzene.

BES is a group that in general is bulky and/or capable of increasing the polarizability of the disk groups' aromatic ring on poly(vinyl aromatic). A polymer may contain different BES groups on different aromatic rings within the same polymer molecule or different BES groups on the same aromatic ring. Representatives and illustrative examples of BES include, but are not limited to, NO₂, Br, I, CN, and phenyl. Preferably, BES substituents are NO₂, Br, I, and CN. Most preferably, BES is NO₂ or Br.

BES may be attached to an aromatic ring such as benzene at any available position including the positions that are para, ortho or meta to the ethylene moiety. A polymer composition may also have BESs that are in different positions on different aromatic rings. In a preferred embodiment, the BES is para to the ethylene moiety. BES may also be mostly at the para position with some BES at the ortho and/or meta positions.

Representatives and illustrative examples of polymer compositions of BES-substituted aromatic polymers include, but are not limited to, poly(nitrostyrene), poly(bromostyrene), substituted poly(nitrostyrene), substituted poly(bromostyrene), copolymers of nitrostyrene or bromostyrene, and copolymer of substituted nitrostyrene or bromostyrene. Preferably, the polymer composition is poly(nitrostyrene), poly(bromostyrene), a copolymer thereof, or a mixture thereof.

Poly(nitrostyrene), poly(bromostyrene) and copolymers thereof may be substituted with one or more nitro or bromo BESs, respectively. The degree of substitution for bromo or nitro BES is preferrably at least 0.5 and more preferrably at least 0.7. However, the degree of substitution may also be higher or lower in the range 0<DS<1. Also, DS may be greater than one. The nitro or bromo substituent may be attached to the benzene ring at any available position including the positions that are para, ortho or meta to the ethylene moiety. In a preferred embodiment, the nitro or bromo BES is para to the ethylene moiety. Thus, preferred polymers include poly(4-nitrostyrene), poly(4-nitrostyrene-co-styrene), poly(4-bromostyrene) and poly(4-bromostyrene-co-styrene). As one of skill in the art will recognize, when these preferred polymers are prepared from 4-nitro- or 4-bromostyrene monomers, the nitro or bromo groups, respectively, will always be at the para position.

As one of skill in the art will recognize, poly(nitrostyrene) may be prepared by nitration of polystyrene in the presence of a mixed acid of HNO₃ and H₂SO₄ as disclosed in Philippides, A., et al., Polymer (1993), 34(16), 3509-13; Fernandez, M. J., et al., Polymer Degradation and Stability (1998), 60(2-3), 257-263; Cowie, J. M. G., et al., European Polymer Journal (1992), 28(2), 145-8; and Al-Najjar, Mohammed M, et al., Polymer Engineering and Science (1996), 36(16), 2083-2087. Nitration of polystyrene can be carried out in the presence of an organic solvent such as nitrobenzene, 1,2-dichloroethane, 3-nitrotoluene, carbon tetrachloride, chloroform, methylene chloride, carbon disulfide, N,N-dimethylformamide, N,N-dimethylacetamide, N-methylpyrolidone, or a mixture thereof. Preferred solvents are nitrobenzene and a 3:1 mixture of nitrobenzene and 1,2-dichloroethane. Copolymers of nitrostyrene may be prepared by nitration of a copolymer of styrene such as poly(styrene-co-acrylonitrile), poly(styrene-co-4-t-butylstyrene), and poly(styrene-co-methyl methacrylate). They can also be prepared by copolymerization of nitrostyrene with other ethylenically unsaturated monomers such as methyl methacrylate, acrylonitrile, 4-t-butylstyrene, 4-methylstyrene, butyl acrylate, and acrylic acid. Poly(nitrostyrene) can also be prepared by polymerization of nitrostyrene monomer as disclosed in Philippides, A. et al., Polymer (1994), 35(8), 1759-63; and Jonquieres, A. et al., Polymer Bulletin (Berlin), (1994), 33(4), 389-95. Trifluoroacetic anhydride and trifluoroacetic acid may be used with nitric acid as the nitration agent. Inorganic nitrate salts such as NH₄NO₃, NaNO₃, KNO₃, and AgNO₃ may also be used with trifluoroacetic anhydride as the nitration agent as disclosed in Grivello, J. V., J. Org. Chem. (1981), 46, 3056-3060.

The poly(nitrostyrene) polymers prepared in this invention are soluble in toluene, methyl isobutyl ketone (MIBK), methyl ethyl ketone (MEK), cyclopentanone, N,N-dimethylformamide or a mixture thereof depending on the degree of substitution of the nitro group. Preferred solvents for film casting poly(nitrostyrene) are toluene and MIBK or a mixture thereof.

As one of skill in the art will recognize, poly(bromostyrene) may be prepared by bromination of polystyrene in the presence of bromine and a Lewis acid catalyst such as AlCl₃, FeCl₃, AlBr₃, FeBr₃, SbCl₅, ZrCl₄, Sb₂O₃, and the like, as disclosed in U.S. Pat. Nos. 5,677,390 and 5,532,322, which are incorporated by reference in their entirety. It may also be prepared by reaction of polystyrene with n-butyllithium-TMEDA complex followed by bromine quenching as disclosed in Farrall, M. J. and Frechet, M. J., Macromolecules, Vol. 12; p. 426, (1979). Similar to poly(nitrostyrene), poly(bromostyrene) may also be prepared by polymerization of bromostyrene monomer as described in Farrall, M. J. and Frechet, M. J., Macromolecules, Vol. 12; p. 426, (1979). Likewise, copolymers of bromostyrene may also be prepared as described previously for poly(nitrostyrene). Bromination of polystyrene can be carried out in the presence of an organic solvent such as, for example, 1,2-dichloroethane, nitrobenzene, 3-nitrotoluene, carbon tetrachloride, chloroform, methylene chloride, carbon disulfide, N,N-dimethylformamide, N,N-dimethylacetamide, N-methylpyrrolidone, or a mixture thereof. Preferred solvents are 1,2-dichloroethane, carbon tetrachloride, and chloroform.

The poly(bromostyrene) polymers prepared in this invention are soluble in toluene as well as in cyclopentanone even with high degrees of substitution. This is particularly useful for coating a TAC substrate since toluene will not have a detrimental effect on the TAC film.

Polymer compositions comprising moieties with Ar-BES may also be prepared by copolymerization of an Ar-BES-containing monomer with one or more ethylenically unsaturated monomers. Such ethylenically unsaturated monomers that may be used to copolymerize with disk-containing monomers include, but are not limited to, one or more of methyl acrylate, methyl methacrylate, ethyl acrylate, ethyl methacrylate, butyl acrylate, butyl methacrylate, isobutyl acrylate, isobutyl methacrylate, ethylhexyl acrylate, 2-ethylhexyl methacrylate, 2-ethylhexyl acrylate, isoprene, octyl acrylate, octyl methacrylate, iso-octyl acrylate, iso-octyl methacrylate, trimethylpropyl triacrylate, styrene, α-methyl styrene, chlorostyrene, 4-t-butylstyrene, 4-methyl styrene, vinyl naphthalene, vinyl toluene, chloromethyl styrene, acrylic acid, methacrylic acid, itaconic acid, crotonic acid, maleic anhydride, glycidyl methacrylate, carbodiimide methacrylate, C₁-C₁₈ alkyl crotonates, di-n-butyl maleate, di-octylmaleate, allyl methacrylate, di-allyl maleate, di-allylmalonate, methyoxybutenyl methacrylate, isobornyl methacrylate, hydroxybutenyl methacrylate, hydroxyethyl(meth)acrylate, hydroxypropyl(meth)acrylate, acetoacetoxy ethyl methacrylate, acetoacetoxy ethyl acrylate, acrylonitrile, vinyl chloride, vinylidene chloride, vinyl acetate, vinyl ethylene carbonate, epoxy butene, 3,4-dihydroxybutene, hydroxyethyl(meth)acrylate, methacrylamide, acrylamide, butyl acrylamide, ethyl acrylamide, diacetoneacrylamide, butadiene, vinyl ester monomers, vinyl(meth)acrylates, isopropenyl(meth)acrylate, cycloaliphaticepoxy(meth)acrylates, ethylformamide, 4-vinyl-1,3-dioxolan-2-one, 2,2-dimethyl-4 vinyl-1,3-dioxolane, 3,4-di-acetoxy-1-butene, and monovinyl adipate t-butylaminoethyl methacrylate, dimethylaminoethyl methacrylate, diethylaminoethyl methacrylate, N,N-dimethylaminopropyl methacrylamide, 2-t-butylaminoethyl methacrylate, N,N-dimethylaminoethyl acrylate, N-(2-methacryloyloxy-ethyl)ethylene urea, and methacrylamido-ethylethylene urea. Further monomers are described in The Brandon Associates, 2nd edition, 1992 Merrimack, N.H., and in Polymers and Monomers, the 1966-1997 Catalog from Polyscience, Inc., Warrington, Pa., U.S.A.

Polymerization may be carried out by a method known in the art such as bulk, solution, emulsion, or suspension polymerization. The reaction may be free radical, cationic, anionic, zwitterionic, Ziegler-Natta, or atom transfer radical type of polymerization. Emulsion polymerization is a preferred method of polymerization when a particularly high polymer molecular weight is desirable. A high molecular weight polymer may lead to better film quality and higher positive birefringence.

Solution film casting may be done with Ar-BES containing polymer, a polymer solution comprising a blend of Ar-BES-containing polymer with other polymers, or a copolymer of Ar-BES containing monomer with other monomers, the latter two being advantageous because they may improve film quality and lower cost. Polymer solutions may further contain other ingredients such as other polymers or additives.

Depending on the particular Ar-BES structure and polymer or polymer blend composition, the Ar-BES-containing polymers may be soluble in, for example, toluene, methyl isobutyl ketone (MIBK), methyl ethyl ketone (MEK), cyclopentanone, N,N-dimethylformamide, or mixtures thereof. Preferred solvents are toluene and MIBK.

In another example embodiment of the invention, the OASU is rod-like. In a preferred embodiment, the rod-like structure is a mesogen. The mesogen may be attached directly to the polymer backbone through one covalent bond (without a spacer) so the moiety has the general formula:

in the polymer backbone, wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens. The mesogen may also be attached directly to the polymer backbone through two independent covalent bonds. The covalent bond may be a carbon-carbon or carbon-nitrogen bond. The mesogen is attached to the polymer backbone preferably at the gravity center of the mesogen or a nearby position, but may also be attached at an end or off-center position. The mesogen-containing polymer has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm without being subject to heat treatment, photo irradiation, or stretching. The mesogen-containing polymer film may be made by solution casting and may form an out-of-plane anisotropic alignment upon solvent evaporation. In a preferred embodiment, the positive birefringence is greater than 0.005, greater than 0.01, greater than 0.02 or greater than 0.03 throughout the wavelength range of 400 nm<λ<800 nm. The mesogen-containing polymers in the present invention are commonly referred to as mesogen jacketed polymers (MJPs). MJPs according to the invention include conventional mesogen-jacketed liquid crystalline polymers (MJLCPs) as well as polymers that are jacketed by a non-liquid crystalline rod-like group.

The polymer film may be a homopolymer or copolymer with one or more moieties containing a mesogen attached directly to the polymer backbone through at least one covalent bond. The copolymer may have a moiety with the general structure in the polymer backbone:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl group, substituted alkyl group, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea, or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer. In one embodiment, R⁶ is a different mesogen. The mesogen may also be attached to a copolymer backbone by two covalent bonds.

Unlike conventional side-chain liquid crystalline polymers (LCPs) having flexible spacers between the backbones and the mesogens, mesogen-jacked polymers (MJPs) have no or very short spacers between the polymer backbones and the rod-like mesogenic units. See Zhao, Y. F., et al. Macromolecules, 2006, 39, p. 948. Thus, MJPs have a strong interaction between the main chains and the bulky side groups. As a result, unlike the conventional side-chain LCPs whose backbones usually take a random-coil chain conformation, MJPs are somewhat rigid and exhibit some characteristics of main-chain LCPs.

It has been surprisingly found that MJPs having no spacers between the backbones and the rod-like mesogenic side groups are capable of forming out-of-plane anisotropically aligned films without being subject to either heat treatment or photo irradiation. An embodiment of the invention includes preparing such films by solution casting. Upon solvent evaporation at an ambient temperature, the resulting films exhibit exceptionally high positive birefringence. MJPs of the invention are soluble in a variety of organic solvents.

Mesogens of the invention may have the general formula:

R¹-(A¹-Z¹)_(m)-A²-(Z²-A³)_(n)-R²

wherein, A¹, A², and A³ are independently either aromatic or cycloaliphatic rings. The rings may be all carbons or heterocyclic and may be unsubstituted or mono- or poly-substituted with halogen, cyano or nitro, or alkyl, alkoxy, or alkanoyl groups having 1 to 8 carbon atoms. Z¹, Z², and Z³ are each independently —COO—, —OOC—, —CO—, —CONH—, —NHCO—, —CH═CH—, —C≡C—, —CH═N—, —N═CH—, —N═N—, —O—, —S—, or a single bond. R¹ and R² are each independently halogen, cyano, or nitro groups, or alkyl, alkoxy, or alkanoyl groups having 1 to 25 carbon atoms, or has one of the meanings given for -(Z²-A³). m is 0, 1, or 2; n is 1 or 2. Preferably, m is 1 or 2; n is 1 or 2; A² is 1,4-phenylene; and the mesogen is attached to the polymer backbone through A². More preferably, m is 2; n is 2; A² is 1,4-phenylene; and the mesogen is attached to the polymer backbone through A².

Representatives and illustrative examples of aromatic rings in a mesogen include, but are not limited to:

Representatives and illustrative examples of cycloaliphatic rings in a mesogen include, but are not limited to:

Representatives and illustrative examples of mesogens that may be attached to the polymer backbone through one covalent bond include, but are not limited to:

Such mesogens may be attached to the polymer backbone via a carbon atom on a benzene ring or a nitrogen atom on a triazole. In a preferred embodiment, the mesogen is attached to the polymer backbone via a carbon atom on the center 1,4-phenylene or a nitrogen atom on the heterocyclic ring.

Representatives and illustrative examples of preferred polymer moieties with mesogens having m is 1 or 2, n is 1 or 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A² include, but are not limited to:

Representatives and illustrative examples of preferred polymer moieties with mesogens having m is 2, n is 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A² include, but are not limited to:

wherein R¹, R², and R³ are hydrogen atoms, alkyl groups, or halogens.

In one example embodiment of the invention, an optical film is solution cast from polymer compositions with one or more moieties of a mesogen having m is 2, n is 2, A² is 1,4-phenylene, and being attached to the polymer backbone through A² This mesogen-jacketed polymer film has an absorption maxima between the wavelengths of about 300 nm and about 350 nm and a positive birefringence greater than about 0.015 throughout 400 nm<λ<800 nm. Representative and illustrative examples of such polymer moieties include, but are not limited to:

wherein R¹, R², and R³ are hydrogen atoms, alkyl groups, or halogens.

MJPs of the invention may be prepared by polymerization of a mesogen monomer having a vinyl group attached to one of its rings, preferably an aromatic ring such as benzene. The polymerization may be carried out by a method known in the art such as bulk, solution, emulsion, or suspension polymerization. The reaction may be free radical, cationic, anionic, zwitterionic, Ziegler-Natta, or atom transfer radical type of polymerization. See Zhou, Q. F., et al. Macromolecules, 1987, 20, p. 233; Zhang, D., et al., Macromolecules, 1999, 32, p. 5183; Zhang, D., et al., Macromolecule, 1999, 32, p. 4494; and Chen, X., et al., Macromolecules, 2006, 39, p. 517.

Representatives and illustrative examples of mesogen monomers with polymerizable vinyl groups suitable for the invention include, but are not limited to:

Representatives and illustrative examples of preferred mesogen monomers with polymerizable vinyl groups suitable for the invention include, but are not limited to:

Polymers with these moieties have a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.

MJPs of the present invention may also be prepared by copolymerization of a mesogen monomer having one vinyl group with one or more ethylenically unsaturated monomers. Representatives and illustrative examples of ethylenically unsaturated monomers that may be used for copolymerization with mesogen-containing monomers include, but are not limited to, one or more of methyl acrylate, methyl methacrylate, ethyl acrylate, ethyl methacrylate, butyl acrylate, butyl methacrylate, isobutyl acrylate, isobutyl methacrylate, ethylhexyl acrylate, 2-ethylhexyl methacrylate, 2-ethylhexyl acrylate, isoprene, octyl acrylate, octyl methacrylate, iso-octyl acrylate, iso-octyl methacrylate, trimethylpropyl triacrylate, styrene, α-methyl styrene, vinyl naphthalene, nitrostyrene, bromostyrene, iodostyrene, cyanostyrene, chlorostyrene, 4-t-butylstyrene, vinyl biphenyl, vinyl triphenyl, vinyl toluene, chloromethyl styrene, acrylic acid, methacrylic acid, itaconic acid, crotonic acid, maleic anhydride, glycidyl methacrylate, carbodiimide methacrylate, C₁-C₁₈ alkyl crotonates, di-n-butyl maleate, α- or β-vinyl naphthalene, di-octylmaleate, allyl methacrylate, di-allyl maleate, di-allylmalonate, methyoxybutenyl methacrylate, isobornyl methacrylate, hydroxybutenyl methacrylate, hydroxyethyl(meth)acrylate, hydroxypropyl(meth)acrylate, acetoacetoxy ethyl methacrylate, acetoacetoxy ethyl acrylate, acrylonitrile, vinyl chloride, vinylidene chloride, vinyl acetate, vinyl ethylene carbonate, epoxy butene, 3,4-dihydroxybutene, hydroxyethyl(meth)acrylate, methacrylamide, acrylamide, butyl acrylamide, ethyl acrylamide, diacetoneacrylamide, butadiene, vinyl ester monomers, vinyl(meth)acrylates, isopropenyl(meth)acrylate, cycloaliphaticepoxy(meth)acrylates, ethylformamide, 4-vinyl-1,3-dioxolan-2-one, 2,2-dimethyl-4 vinyl-1,3-dioxolane, 3,4-di-acetoxy-1-butene, and monovinyl adipate t-butylaminoethyl methacrylate, dimethylaminoethyl methacrylate, diethylaminoethyl methacrylate, N,N-dimethylaminopropyl methacrylamide, 2-t-butylaminoethyl methacrylate, N,N-dimethylaminoethyl acrylate, N-(2-methacryloyloxy-ethyl)ethylene urea, and methacrylamido-ethylethylene urea. Further monomers are described in The Brandon Associates, 2nd edition, 1992 Merrimack, N.H., and in Polymers and Monomers, the 1966-1997 Catalog from Polyscience, Inc., Warrington, Pa., U.S.A.

As one of skill in the art will recognize, MJP may also be prepared by first synthesizing a functionalized polymer and then subsequently reacting the polymer with a small molecule to obtain the desired mesogen structure.

Solution film casting may be done with MJPs, a polymer solution comprising a blend of MJPs with other polymers, or a copolymer of MJPs, the latter two being advantageous because they may improve film quality and lower cost. Polymer solutions may further contain other ingredients such as other polymers or additives. MJPs of the invention are soluble in toluene, methyl isobutyl ketone (MIBK), methyl ethyl ketone (MEK), cyclopentanone, N,N-dimethylformamide or a mixture thereof depending on the structures of the mesogens. Preferred solvents are toluene and MIBK. Optical films can be cast onto a substrate from the resulting polymer solutions by a method known in the art such as, for example, spin coating, as described above.

In another embodiment of the invention, the OASU is attached directly to the polymer backbone through two independent covalent bonds so the moiety has the general formula:

wherein R¹, R², and R³ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, and OASU is an optically anisotropic sub-unit.

Representatives and illustrative examples of such polymer moieties having OASU attached directly to the polymer backbone through two independent covalent bonds include, but are not limited to:

Representatives and illustrative examples of monomers that may be used to prepare homopolymers or copolymers having OASU attached directly to the polymer backbone through two independent covalent bonds include, but are not limited to:

Another example embodiment of the invention includes a method for controlling the birefringence of an optical compensation film by selecting a polymer that adheres to parameters that have been discovered to enhance birefringence as disclosed herein. Birefringence of a polymer film with positive birefringence (positive C-plate) may be controlled by controlling the orientation of optically anisotropic subunits (OASUs), which are the molecular units that give a compensation film its birefringent properties.

In a preferred example embodiment of the invention, birefringence may be controlled by selecting a polymer with substituents that exhibit the buttressing effect, defined as:

B=R/D

wherein B is the buttressing factor, R is the maximum dimension of an OASU in the direction perpendicular to the vector sum of the covalent bond or bonds that attach the OASU to the polymer backbone, and D is the distance along the polymer backbone, when the polymer backbone is in extended conformation, between the attaching points of the two neighboring OASUs. For an OASU attached to the polymer backbone by two independent covalent bonds, D is measured from the midpoint of the two covalent bonds. For a polymer with some moieties that do not contain OASUs, D is still the distance between attaching points of the two closest OASUs, even if the OASUs are not directly adjacent to each other or if other substituents are between the OASUs along the polymer chain. The buttressing factor B of a given polymer or copolymer structure may be calculated theoretically based on values of bond lengths and the corresponding distances between atoms or substituents. As will be understood by one of ordinary skill in the art, bond lengths may be calculated by techniques such as x-ray crystallography, X-ray-absorption fine structure, NMR spectroscopy and electron diffraction. Tables reporting known bond lengths are known in the art and available in various chemistry texts such as Handbook of Chemistry & Physics, 65^(th) Edition, CRC Press; Chemistry: the molecular nature of matter and change, 4^(th) edition, 2006, The McGraw-Hill Companies, Author: Martin S. Silberberg. In one example embodiment, selection of an OASU according to B=R/D parameters allows control of the negative segment birefringence (Δn^(s)) of a polymer film. That polymer is then solution cast so that it has a negative segment order parameter (O^(s)), thus resulting in a polymer film with positive birefringence (Δn).

Theoretical calculation of R and D values may be understood by reference to an exemplary polymer, polystyrene, which is explained in FIGS. 1-2 and the following example. D is the distance between the attaching points of two OASUs to the polymer backbone when the polymer is in the extended chain conformation, as depicted in exemplary FIG. 1 a. D is the straight line distance between the attaching points of neighboring OASUs rather than the entire distance along the polymer backbone between the attaching points. D may be calculated by drawing a framework around an OASU-containing moiety and using known bond lengths and bond angles.

Use of the framework, bond lengths and bond angles in calculating D and R is demonstrated by reference to polystyrene. FIG. 2 a shows the point on the polymer backbone at which the OASU of reference (the benzene ring) will be attached. FIG. 2 b shows a segment of the polymer backbone in the extended chain conformation. For polystyrene, this represents two single carbon-carbon bonds, each having a bond length of 0.154 nm and a bond angle of 109.5°. FIG. 2 c shows the distance D formed when the two OASU-attaching points are joined by a straight line. The angles between the straight line representing D and the carbon-carbon singles bonds is readily determined [(180°−109.5°)÷2=35.2°]. Thus, the value of D may be calculated by

D=(0.154×cos 35.2°)+(0.154×cos 35.2°)=0.25 nm

Thus, for polystyrene shown in FIG. 1 a, D is approximately 2.51 Å. Other examples of D calculations are depicted in FIGS. 1 c, 1 e, 1 g, 3 a-c and 4 a-c and by Examples 23 and 24.

Turning now to FIG. 1 b, R measures the size of an OASU in the direction perpendicular to its rigid bond to the polymer backbone. The OASU is drawn to scale in the plane of the paper according to its actual bond lengths and bond angles. R is measured by drawing lines flanking the OASU that are parallel to the covalent spacer bond and parallel to each other and determining the distance between the two outer lines using bond lengths and bond angles. That value is added to the van der waals radii of the left-most and right-most atoms of the OASU. This sum will be the value of R. This calculation is illustrated for the exemplary polymer polystyrene in FIG. 2 d-f. FIG. 2 d shows the covalent bond from a carbon atom of the polymer backbone to the attaching atom of the OASU. In the case of polystyrene, the attaching atom is also carbon. FIG. 2 e shows the structure of benzene attached to the polymer backbone and its known bond lengths and bond angles. All carbon-carbon bond lengths of the benzene ring are 0.14 nm, all bond angles of the benzene ring are 120°, and all carbon-hydrogen bond lengths of the benzene ring are 0.11 nm. FIG. 2 f shows the benzene ring with parallel vertical lines drawn at intervals such that calculating the distances of segments of the OASU is possible for each interval. One skilled in the art will know how to partition each structure so that calculating R is possible based on known bond lengths and bond angles. As shown in FIG. 2 f, bonds 1, 2, 3 and 4 each have an angle of 30° with respect to the horizontal length of the benzene OASU, and thus each segment has a length calculated by bond length×cos 30°, and R is the sum of these segment lengths plus the van der waals radii of the hydrogen atoms, which are each 0.12 nm. Thus, R may be calculated by:

R=[2×cos 30°×(d _(C-C) +d _(C-H))]+[2×r _(H)]

R=2×0.866×(1.4+1.1)+2×1.2

R=0.67 nm

As one skilled in the art will recognize, this calculation may also be performed as:

R=(0.11 nm×cos 30°)+(0.14 nm×cos 30°)+(0.14 nm×cos 30°)+(0.11 nm×cos 30°)+2×0.12 nm

R=0.67 nm

Thus, for polystyrene shown in FIG. 1 a, R is approximately 6.7 Å. Other examples of R calculations are depicted in FIGS. 1 d, 1 f, 1 h, 1 i, 3 d-f and 4 d-f and by Examples 23 and 24. If the OASU contains a flexible tail, such as the R group depicted at the end of the OASU in FIG. 1 i, the bond distance and bond angle of the flexible tail (R group) is not included in the calculation of R. Further, for Ar-BES that are styrene substituted with a BES at the 4-position (the position that is opposite the attaching point of the Ar-BES to the polymer backbone), the R calculation will be the same as for styrene because the BES at the 4-position does not contribute to the dimension (R) of the Ar-BES and is thus not included in the calculation of R. Thus, the van der waals radii of the oxygen atoms in FIG. 1 i are the right-most and left-most distances to be included in the R calculation.

It will be understood by those skilled in the art that the equation for calculating R may differ for different OASUs because it is dependent on the bond lengths and angles of the OASU. Thus, OASUs with different atoms or different conformations may use different equations to calculate R, but the equation will be based on the principals described herein.

Lastly, B is calculated by dividing R by D. Thus, for polystyrene:

B=R/D

B=6.7 Å÷2.51 Å

B=2.7

The solution casting film of polystyrene (PS) has a birefringence around 0.002 in the visible light wavelength (˜0.001-0.002 @ 633 nm).

The calculations for D and R described herein and as depicted in FIG. 1 may be applied to other polymers or copolymers and thus B may be calculated for other specific OASU-containing moieties.

When the buttressing factor B is greater than about 2.5, the maximum dimension of an OASU is greater than its distance from another OASU in the direction perpendicular to the covalent bond that attaches the OASU to the polymer backbone. These optimal parameters cause the polymer backbone to twist into a corkscrew-like conformation such that the OASUs are oriented above and below the buttressed polymer chain, but not on the sides of the buttressed polymer chain, to accommodate the bulky OASUs in a sterically favorable conformation. The buttressed polymer chain is unable to unwind due to steric hindrance. The buttressing effect also causes the polymer backbone to have an overall linear shape (i.e., viewed from a distance) over a long distance. Thus, the buttressed polymer is rigidly fixed in the corkscrew-like conformation with OASUs extending above and below at angles that are approximately perpendicular to the overall linear direction of the buttressed polymer chain, as shown in FIG. 3. The higher the perpendicularity of the OASUs, the larger the negative segment birefringence (Δn^(s)) of the polymer segment. Thus, in a preferred embodiment of the invention, the butressing factor for an OASU is greater than about 2.5. In one embodiment the OASU is Ar-BES and the butressing factor may be at least about 2.6. In a more preferred embodiment, the buttressing factor for an OASU is at least about 2.7. In one embodiment, the OASU is a disk or a mesogen and the butressing factor may be at least about 2.7.

Polymer chain rigidity can be enhanced by increasing the buttressing factor, i.e. by increasing the dimension and/or decreasing the distance between OASUs. Thus, the buttressing factor may be increased depending on the desired chain rigidity, which affects the overall birefringence of a compensation film containing the buttressed polymer. Accordingly, it may be desirable to increase the buttressing factor to any higher value of B, such as for example 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or any increments between. However, higher values of B may also be contemplated depending on the particular application of the compensation film and its desired birefringence.

When the buttressed polymer backbone is in-plane (parallel to the substrate) and the OASUs are perpendicular to the substrate and the polymer backbones, the perpendicularity of the OASUs (the light-directing elements of the compensation film), allows the film to have an index of refraction in the direction perpendicular to the film (i.e., along the optical axis of the OASUs) that is higher than the index of refraction in the direction parallel to the film (i.e., along the length of the buttressed polymer's backbone. Thus, the compensation film satisfies the relation n_(⊥)>>n_(∥). Since the difference between n_(⊥) and n_(∥) is great, the birefringence Δn of the compensation film is high.

High birefringence Δn achieved through selecting a polymer with the buttressing effect is also desirable because it allows the thickness of the compensation film to be thinner since film birefringence and thickness vary inversely. The retardation value of an optical compensation film is defined as d×Δn, wherein d is the thickness of the film. Thus, a film with high birefringence can be thinner and still achieve the desired retardation value. The retardation value of the optical compensation film may preferably be 50 nm to 400 nm.

As described herein, the OASU may be disk-like or rod-like. Birefringence of the compensation film may be controlled by manipulating the birefringence of a uniaxial unit, represented as Δn^(OASU), wherein Δn^(OASU)=n_(o) ^(OASU)−n_(e) ^(OASU). Δn^(OASU) is greater than zero for rod-like OASUs because their optical axis is in the rod direction of OASU so n_(o) ^(OASU)>n_(e) ^(OASU). Δn^(OASU) is less than zero for disk-like OASUs because their optical axis is perpendicular to the plane of the OASU disk so n_(o) ^(OASU)<n_(e) ^(OASU).

The order parameter of the OASU with respect to the film normal direction (z direction) is defined as O^(OASU)=(3<cos θ>−1)/2, wherein <cos θ> is the average value of all units' cos θ value, and θ is the angle between the OASU's optical axis direction and the film's normal direction. According to the definition, θ is in the range from 0° to 90°, and O^(OASU) is thus in the range from −0.5 to 1. Therefore, O^(OASU) may be positive, negative, or zero.

A compensation film's birefringence can be expressed as a function of the birefringence and order parameter of a uniaxial unit: Δn=Δn^(OASU)×O^(OASU). Considering the sign of the two factors, there are 6 combinations as listed in FIG. 4. The invention pertains to positive C plates. Thus, as shown in FIG. 4, the rod-like OASU requires a positive order parameter (O^(OASU)>0), whereas the disk-like OASU requires a negative order parameter (O^(OASU)<0) to satisfy Δn=Δn^(OASU)×O^(OASU)>0.

During film formation and processing, the basic unit of the polymer may be defined as a rigid segment and the film's birefringence can be expressed as: Δn=Δn^(S)×O^(S), wherein Δn^(S) is the birefringence of the segment, and O^(S) is the order parameter of the segment with respect to the film's normal direction. The birefringence of the segment Δn^(S) is defined as Δn^(S)=n^(S) _(o)−n^(S) _(e), wherein n^(S) _(e) is the refractive index along the segment direction (or the main chain direction at the segment position), and n^(S) _(e) is the average refractive index perpendicular to the segment direction. The order parameter of the segment (O^(S)) with respect to the film's normal direction is defined as O^(S)=(3<cos φ>−1)/2, wherein φ is the angle between the segment direction and the film's normal direction, and <cos φ> is the average value of all segments' cos φ values. For a solution cast polymer film, O^(S) is always negative or zero. Therefore, in the case of non-zero O^(S), the sign of Δn is determined by the sign of Δn^(S). O^(S) preferably has a large absolute value, which requires a sufficiently large segment size or a sufficiently long persistent length.

Within segments, the OASU unit will further have an order parameter with respect to the segment direction (units within segment), defined as O^(U-S)=(3<cos ψ>−1)/2, where ψ is the angle between the OASU optical axis direction and the segment direction, <cos ψ> is the average value of all the OASU's cos ψ values within a segment. Therefore, the segment's birefringence Δn^(S) can be expressed as Δn^(S)=Δn^(OASU)×O^(U-S). The film's birefringence Δn^(S) can thus be expressed as: Δn=Δn^(OASU)×O^(U-S)×O^(S).

In another embodiment of the invention, birefringence may be controlled by selecting a polymer with OASUs that satisfy the equation:

Δn=Δn ^(OASU) ×O ^(U-S) ×O ^(S)>0

For a rod-like OASU, Δn^(OASU)>0 and O^(S)<0. Thus, positive C-plates require negative O^(U-S). O^(U-S) is negative when the rods are perpendicular to the segment direction. In a preferred embodiment, rod-like OASUs are selected such that the distance between the two attaching points of the neighboring OASUs is shorter than the length of the rod the so that they exhibit the buttressing effect. If the rod-like OASUs are selected according to these parameters, then the rods can no longer rotate freely. Instead, some conformation with rod direction parallel to the main chain direction will be forbidden due to steric hindrance. Further, the main polymer chain will be substantially rigid and linear over a long distance. All the possible conformation of the rods will generate an average orientation preferably perpendicular to the main chain and thus result in a negative O^(U-S). In this embodiment, OASU may be attached to the main chain from any position as long as buttressing effect is present.

For a disk-like OASU, Δn^(OASU)<0 and O^(S)<0. Thus, positive C-plates require positive O^(U-S). If the main chain has sufficient rigidity and the spacer is allowed to freely rotate, O^(U-S) will be positive (according to a strict mathematic model, O^(U-S)=⅙ for this model). Considering the disk will avoid some parallel orientations due to steric hindrance, the order parameter may be more positive. In a preferred embodiment, positive O^(U-S) is achieved by selecting disk-like OASUs when the main polymer chain is rigid and such that the distance between the two neighboring attaching points of the OASUs is shorter than the length of the rod so that they exhibit the buttressing effect.

Selecting OASUs according to the buttressing effect parameters allows birefringence to be manipulated because it generates and enhances the non-zero segment parameter, O^(U-S). The buttressing effect will make some of the OASU's conformations forbidden and thus leads to the preferred orientation of the OASU. Especially for laterally attached rod-like OASU, the buttressing effect is the basic reason for the negative OASU order parameter within a segment O^(U-S). Qualitatively, the bigger buttressing factor will have a stronger buttressing effect and make O^(U-S) more negative for rod-like model and more positive for disk-like model.

An advantage of the invention is that compensation films with high birefringence may be obtained by a simple solution casting process without any other post-processing such as stretching, photopolymerization, etc. Solution casting without post-processing may significantly reduce the cost of film fabrication and help eliminate errors caused by the complexity of post-processing. In certain other embodiments, post-casting processing, such as uniaxially or biaxially stretching or photopolymerization, may be used to further enhance the compensation film's high positive birefringence. The order parameter of a polymer segment, O^(S), is mainly determined by the conditions of solution casting, such as temperature, evaporation rate, and concentration. Thus, the conditions of solution casting impact the birefringence of the optical compensation film according to the equation Δn=Δn^(OASU)×O^(S) described above.

A variety of solvents may be used for solution casting the optical compensation films of the invention including, but not limited to, chloroform, dichloromethane, dichloroethane, benzene, chlorobenzene, xylene, N,N-dimethylformamide, N,N-dimethylacetamide, N-methyl-2-pyrrolidone, pyridine, dimethylsulfoxide, acetonitrile, cyclohexanone, methyl amyl ketone, ethyl acetate, ethylene glycol monobutyl ether, and the like. Preferred solvents include toluene, methyl isobutyl ketone (MIBK), methyl ethyl ketone (MEK), and cyclopentanone.

Optical films may be cast onto a substrate from polymer solutions by a method known in the art such as, for example, spin coating, spray coating, roll coating, curtain coating, or dip coating. Substrates are known in the art, and include TAC (triacetylcellulose), polyester, polyvinyl alcohol, cellulose ester, polycarbonate, polyacrylate, polyolefin, polyurethane, polystyrene, glass, and other materials commonly used in an LCD device.

The solution-cast compensation film may be removed from the substrate after drying to yield a free-standing film. The already high birefringence of the film may optionally be further enhanced by uniaxial or biaxial stretching. The free-standing film may also be laminated onto a substrate.

Polymer chains have a random orientation in the homogeneous solution. The conformation of polymer chains in solution is generally a random coil, unless the polymer backbone is rigid while molecular weight is low, which may have a rod-like shape. As shown in FIG. 5, polymer chains in solution resemble loosely threaded-balls filled with solvent. After solution casting, the balls deflate during solvent evaporation and collapse into flatter “pancake” shapes. This process is continuous as long as solvent evaporation continues. As a result, the order parameter of the polymer segments, O^(s), becomes more and more negative when the polymer collapses. Polymer chain segments become aligned parallel to the substrate surface. However, other factors such as competition between the evaporation rate of the solvent and the relaxation process of the polymer chains determine whether or not this aligned segment orientation is maintained.

When the solution for film casting is dilute, solvent evaporation generally follows a free relaxation model. During the free relaxation stage, the order parameter of the polymer segments is zero. During the free relaxation model, the system fluctuates between the collapsed ball shape and round ball shape. When the solution is dilute, the polymer's glass transition temperature is lower than the environment temperature so that polymer chains relax fast enough to compete with the collapse.

As solvent evaporates, the ball-shape becomes smaller and the solution on the substrate becomes increasingly concentrated. At a certain concentration, the glass transition temperature of the polymer chains is close to the environmental temperature, and polymer relaxations become too slow to follow the solvent's evaporation or the collapsing procedure. At this point, the polymer solution reaches the “frozen point” and the system follows the frozen model. At the frozen stage, the order parameter of the polymer segment is determined by the frozen point, v_(f) according to the equation:

O ^(s)=(v _(f)−1)/(v _(f)+2)

Thus, the final order parameter of the polymer segments after solution casting is determined by the frozen point, v_(f). Because v_(f)'s value is between v₀ and 1 and thus in the range 0-1, according to equation O^(S)=(v_(f)−1)/(v_(f)+2), O^(S) is always negative. Thus, the statistical orientation of the polymer segments is always parallel to the surfaces of the substrates. However, the value of O^(S) depends on the value of v_(f), and O^(S) is higher when v_(f) is smaller. Thus, higher birefringence is achieved when O^(S) is large and v_(f) is small.

The value of v_(f) may be determined by many factors including, but not limited to, evaporation rate of the solvent, environmental temperature, solubility of the polymer in the solvent and the chemical structure of the polymer, which affects relaxation. The evaporation rate is preferably slow enough to ensure that the ball shape collapses but fast enough to ensure that the relaxation rate is slower at more dilute concentrations. As is known in the art, evaporation rate may be adjusted by adjusting environmental temperature and pressure. The relaxation rate depends on the chemical structure of polymer and the film casting temperature. Polymers with rigid segments may freeze easily at the environmental temperature.

EXAMPLES Example 1 Birefringence Measurement

Polymer samples were first dissolved in suitable solvents and were solution cast onto a piece of cleaned glass with the size of 1×1.5 inches. The thickness of the polymer film was controlled in the range of 15 to 20 μm by adjusting the content of solid in the solution. After the solvent evaporated, the polymer film was peeled off the glass to obtain a piece of free-standing film. Birefringence of the free-standing polymer films was measured by a prism coupler (Model 2010), from Metricon Corp. at 633 nm.

Example 2 Preparation of Poly(2-vinylnaphthalene) by bulk polymerization

2-Vinylnaphthalene (2.00 g) was charged to a Schlenk tube. The tube was stoppered, evacuated by pulling vacuum, and then filled with argon gas. The tube was evacuated and then refilled with argon four more times. While under a positive pressure of argon, the tube was immersed into an oil bath maintained at 70° C. for 24 hours. After cooling to room temperature, the solid plug of material was dissolved in tetrahydrofuran (THF). The solution was added in a dropwise manner into 500 mL of rapidly stirring methanol, causing the polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was then dissolved in fresh THF and reprecipitated by dropwise addition into rapidly stirring methanol. After collection by filtration and drying, the resulting polymer was found to have MW of 127,000 g/mol and a Tg of 139° C. A film cast from cyclopentanone (Cp) showed a positive birefringence of 0.0040 at 633 nm.

Example 3 Preparation of Poly(2-vinylnaphthalene) by solution polymerization

2-Vinylnaphthalene (2.01 g), azo-bis(isobutyronitrile) (AIBN, 1.5 mg) and benzene (0.98 g) were charged to a 50 mL round bottom flask containing a Teflon-coated magnetic stirbar. The reaction mixture was degassed by bubbling dry argon gas through the stirring reaction mixture for 15 minutes. The vessel contents were then kept under a positive pressure of argon and immersed into an oil bath maintained at 60° C. for 19 hours. The contents of the vessel were diluted with 25 mL of benzene after cooling the reaction mixture to room temperature. The resulting solution was slowly poured into 500 mL of rapidly stirring methanol, causing the resulting polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was then dissolved in tetrahydrofuran and reprecipitated by dropwise addition into rapidly stirring methanol. After collection by filtration and drying, the resulting polymer was found to have MW of 251,000 g/mol and a Tg of 148° C. A film cast from cyclopentanone showed a positive birefringence of 0.0073 at 633 nm.

Example 4 Preparation of Poly(2-vinylnaphthalene) by emulsion polymerization

2-Vinylnaphthalene (2.00 g), sodium dodecyl sulfate (0.40 g), and water (18.0 g) were charged to a 125 ml round bottom flask containing a Teflon-coated magnetic stirbar. The contents of the vessel were degassed by bubbling dry argon gas through the stirring reaction mixture for 30 minutes. The vessel contents were then kept under a positive pressure of argon and immersed into an oil bath maintained at 80° C. After 30 minutes at 80° C., the vessel was then charged with potassium persulfate solution (32 mg in 1 mL of water). After the initial charge of initiator solution, a fresh charge of potassium persulfate solution (32 mg in 1 mL water) was added to the reaction vessel every 2 hr. At the end of the 6 hr polymerization period, the reaction mixture was poured into 250 mL of rapidly stirring methanol. The addition of 200 mL of methylene chloride to the resulting suspension caused the polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a glass frit filter. The polymer was then redissolved in tetrahydrofuran and reprecipitated by dropwise addition into rapidly stirring methanol. After collection by filtration and drying, the resulting polymer was found to have MW of 550,000 g/mol and a Tg of 146° C. A film cast from cyclopentanone showed a positive birefringence of 0.0062 at 633 nm.

Example 5 Preparation of Poly(1-vinylpyrene) by bulk polymerization

1-Vinylpyrene (2.0 g) was charged to a Schlenk tube. The tube was stoppered, evacuated by pulling vacuum, and then filled with argon gas. The tube was evacuated and then refilled with argon four more times. While under a positive pressure of argon, the tube was immersed into an oil bath maintained at 100° C. for 24 hours. After cooling to room temperature, the solid plug of material was dissolved in tetrahydrofuran (THF). The solution was added in a dropwise manner into rapidly stirring ethanol, causing the polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was then dissolved in fresh THF and reprecipitated by dropwise addition into rapidly stirring ethanol. After collection by filtration and drying, the resulting polymer was found to have MW of 72,600 g/mol and a Tg of 254° C. A film cast from cyclopentanone showed a positive birefringence of 0.0051 at 633 nm.

Example 6 Preparation of Poly(N-vinyl phthalimide)

To a reaction tube were charged 1.0 g of N-vinylphthalimide and 1.3 g of a solution of benzoyl peroxide in chlorobenzene (1.0 mg/g). The reaction mixture was purged with argon, heated to 78° C., and allowed to react overnight. After cooled down to room temperature, the solution was poured to methanol. The resulting white precipitate was collected and dried to afford about 1 g of white powder. A film cast from γ-butyrolactone (GBL) showed Δn=0.0154 at 633 nm (only partially soluble in GBL). Another film cast from NMP showed Δn=0.0045 at 633 nm (brittle film).

Using the same method, two substituted poly(N-vinyl phthalimides), poly(N-vinyl-4,5-dichlorophthalimide) and poly(N-vinyl-4-trifluoromethylphthalimide), were also prepared. However, films could not be cast due to their poor solubility.

Example 7 Preparation of Poly(N-vinyl phthalimide-co-styrene)

According to the same method as in Example 6, copolymers were prepared by charging various mole ratios of styrene (S) with either N-vinyl phthalimide (VPI) or N-vinyl-4,5-dichlorophthalimide (VDCPI), Films were then cast from NMP and their birefringence measured as listed in the table below. It should be noted, however, the mole ratios of the resulting polymers could vary due to low yields (about 30%).

TABLE 1 Styrene/VPI or VDCPI Copolymer mole ratio used Δn at 633 nm P(S-co-VPI) 1:1 0.0035 P(S-co-VPI) 1:3 0.0031 P(S-co-VDCPI) 1:3 0.0030 P(S-co-VDCPI) 7:1 0.0012

Example 8 Preparation of Poly(nitrostyrene) by Nitration of Styrene

Polystyrene (5.0 g) was stirred and dissolved in a solvent mixture of nitrobenzene (90 g) and 1,2-dichloroethane (30 g) in a three-neck round-bottom flask equipped with a mechanical stirrer. To the stirred mixture was added a mixed acid (nitro/styrene equivalent ratio=2/1) consisting of nitric acid (8.6 g) and concentrated sulfuric acid (10.0 g) dropwise in a period of 30 min. The mixture was allowed to react at room temperature under nitrogen for a total of 22 hours. The resulting yellow mixture was poured into diluted sodium hydroxide in water and organic layer separated, which was subsequently precipitated into methanol to give a solid mass. The solid was dissolved in N,N-dimethylformamide (DMF) and re-precipitated into methanol. The resulting heterogeneous mixture was stirred for two hours, filtered, washed repeatedly with methanol, and dried under vacuum to give a slightly yellowish fibrous powder. The yield was generally >95%.

Using the above method, various poly(nitrostyrenes) were prepared as listed below. Products 1-3 were prepared using a polystyrene with weight average molecular weight (MW) 280,000 and Tg 100° C. (Aldrich), while product 4 from one having MW 230,000 and Tg 94° C. (Aldrich).

TABLE 2 Reaction Reaction Product Time, % N Poly(nitrostyrene) Polystyrene Nitro/Styrene hours Solubility (DS) Tg, ° C. Δn @ 633 nm 1 Mw 280 K, Tg 3/1 22 DMF 9.63 189 +0.0138 100° C. (1.02) 2 Mw 280 K, Tg 2/1 22 Cp, DMF 8.22 174 +0.0161 100° C. (0.87) 3 Mw 280 K, Tg 2/1 6 Cp, DMF 7.37 147 +0.0110 100° C. (0.78) 4 Mw 230 K, Tg 2/1 22 Cp, DMF 8.69 177 +0.0157 94° C. (0.92)

Product 1 was soluble in DMF but not in Cp, while the others were soluble in Cp. Films of 2, 3, and 4 were cast respectively from their Cp solutions by spreading the solutions on glass slides and allowing to dry at room temperature in air to form thin films (about 15-20 μm). A film of product 1 was cast from DMF and dried under vacuum due to the hygroscopic character of DMF. % N of the polymer was determined by elemental analysis, from which the degree of substitution (DS) of the nitro group was calculated.

Example 9 The Property Relationship of Poly(Nitrostyrenes) Having Various Degrees of Substitution

Using the same method in Example 8, a series of poly(nitrostyrenes) having various degrees of substitution (DS) were prepared by adjusting the nitro/styrene equivalent ratio. Their solubility and birefringence were then determined; the results are plotted in FIG. 6. As illustrated in FIG. 6, the solubility of the poly(nitrostyrene) decreases with increased DS. Those with DS greater than about 0.9 were only soluble in DMF, with DS between about 0.4 and about 0.9 were soluble in Cp and DMF; with DS about 0.35 were soluble in methyl isobutyl ketone (MIBK), Cp, and DMF; and with DS lower than about 0.3 were soluble in toluene, MIBK, Cp, and DMF. FIG. 6 also shows that the birefringence of the poly(nitrostyrene) increases with increased degree of nitration.

Example 10 Preparation of Nitrostyrene Copolymer

A copolymer was prepared by nitration of poly(styrene-co-acrylonitrile) (75% styrene, MW 165K; Aldrich) using the same method as in Example 8 with an equivalent ratio of nitro/styrene, 3/1. The resulting polymer had Tg of 151° C., % N 5.84 (DS 0.62) (excluding CN group), and was soluble in cyclopentanone (Cp). A film was cast from Cp and showed a positive birefringence of 0.0089 at 633 nm.

Example 11 Preparation of Poly(Bromostyrene) by Bromomination of Styrene

Polystyrene (5.0 g) (Mw 280,000; Aldrich) was stirred and dissolved in 1,2-dichloroethane (100 g) in a three-neck-round-bottom flask equipped with a mechanical stirrer. To the stirred mixture was added AlCl₃ (0.1 g) followed by the addition of bromine (15.4 g) (Br/styrene equivalent ratio, 2/1) in a period of one hour. The mixture was allowed to react at room temperature under nitrogen for a total of 7 hours. The resulting red mixture was precipitated into methanol, filtered, and washed repeatedly with methanol to give a slightly yellowish fibrous powder (7.2 g). The product was soluble in toluene or Cp and has a Tg of 134° C., 34% of Br (DS 0.78). A film was cast from toluene and measured to have Δn+0.0069 @ 633 nm.

Example 12 Preparation of Bromostyrene Copolymer

A copolymer was prepared by bromination of poly(styrene-co-acrylonitrile) (75% styrene, MW 165K; Aldrich) using the same method as in Example 11 with an equivalent ratio of Br/styrene, 2/1. The resulting polymer had Tg of 141° C., 26% Br (DS 0.65), and was soluble in MIBK. A film cast from MIBK showed a positive birefringence of 0.0024 at 633 nm.

Example 13 Preparation of Poly(Bromo-Nitrostyrene) by Bromination of Poly(Nitrostyrene)

By using the same method as in Example 11, a poly(bromo-nitrostyrene) was prepared by bromination of a poly(nitrostyrene) having DS 0.47 prepared as in Example 7. In the reaction, poly(nitrostyrene) (3.0 g), AlCl₃ (0.1 g), and bromine (4.62 g) (Br/styrene 2/1) were used. The mixture was allowed to react for 5 hours to give a slightly yellowish powder (2.5 g); Tg 139° C.; soluble in MIBK or cyclopentanone; film cast from MIBK having Δn+0.0054 @ 633 nm.

Example 14 Preparation of Poly(Nitro-Bromostyrene) by Nitration of Poly(Bromostyrene)

By using the same method as in Example 8, a poly(nitro-bromostyrene) was prepared by nitration of poly(bromostyrene) prepared in Example 11. In the reaction, poly(nitrostyrene) (2.50 g), HNO₃ (2.15 g), and H₂SO₄ (2.50 g) were used. The mixture was allowed to react for 5 hours to give a slightly yellowish powder (2.1 g); Tg 144° C.; % N 1.67; soluble in cyclopentanone.

Example 15 Nitration of Poly(2-vinylnaphthalene)

A nitro-substituted polymer was prepared by nitration of poly(2-vinylnaphthalene) (Mw 251 K; Tg 148° C.) using the same method as in Example 8 with an equivalent ratio of nitro/styrene, 2/1. The reaction was carried out by charging poly(2-vinylnaphthalene) (0.25 g), nitrobenzene (4.5 g), 1,2-dichloroethane (1.5 g), HNO₃ (0.29 g), and H₂SO₄ (0.34 g) to a 50 ml flask equipped with a magnetic stirrer. The mixture was allowed to react for 22 hours to give a powder (0.33 g). The resulting polymer had Tg of 199° C. and % N 2.17 (DS 0.31) and was soluble in cyclopentanone. A film cast from Cp showed a positive birefringence of 0.0088 at 633 nm.

Example 16 Nitration of Poly(4-vinyl biphenyl)

Similar to Example 15, a nitro-substituted polymer was prepared by nitration of poly(4-vinyl biphenyl) (Mw 396K; Tg 150° C.) by using poly(4-vinyl biphenyl) (0.25 g), nitrobenzene (4.5 g), 1,2-dichloroethane (1.5 g), HNO₃ (0.25 g), and H₂SO₄ (0.29 g). The resulting polymer had Tg of 192° C. and % N 2.30 (DS 0.37) and was soluble in cyclopentanone. A film cast from Cp showed a positive birefringence of 0.0097 at 633 nm.

Example 17 Bromination of Poly(styrene-co-4-vinyl biphenyl)

As in Example 11, a bromo-substituted polymer was prepared by bromination of poly(styrene-co-4-vinyl biphenyl) (Mw 229K) by using poly(styrene-co-4-vinyl biphenyl) (0.5 g), 1,2-dichloroethane (14 g), AlCl₃ (0.04 g), and bromine (1.54 g). The resulting polymer had Tg of 161° C., % Br of 35% (DS˜1) and was soluble in toluene. A film cast from Cp showed a positive birefringence of 0.0028 at 633 nm.

Example 18 Alkylation and Nitration of Polystyrene

This example illustrates an MIBK-soluble poly(nitrostyrene) with high positive birefringence can be prepared by first reacting polystyrene with t-butylchloride and subsequently reacting with a mixed acid.

Alkylation: Polystyrene (5.20 g) (Mw 280,000; Aldrich) was stirred and dissolved in carbon disulfide (70 g) in a three-neck round-bottom flask equipped with a mechanical stirrer and a water condenser. To the stirred mixture was added AlCl₃ (0.01 g), followed by the addition of t-butyl chloride (2.31 g) (t-butyl/styrene equivalent ratio, 1/2). The mixture was allowed to reflux under nitrogen for 2 hours and then allowed to cool to room temperature. The resulting mixture was precipitated into methanol, filtered, washed repeatedly with methanol, and dried under vacuum to give a fibrous powder (6.32 g). The product was soluble in MIBK and has a Tg of 117° C. A film was cast from MIBK and measured to have Δn=0.0027 @ 633 nm.

Nitration: The above product after alkylation (1.5 g) was stirred and dissolved in nitrobenzene (25 g). To the mixture was added a mixed acid of HNO₃ (2.6 g) and H₂SO₄ (2.6 g) dropwise in a period of 30 minutes. The mixture was allowed to react at room temperature for 24 hours. After the reaction, the yellow mixture was washed with dilute NaOH in water. The organic layer was separated and precipitated into methanol, filtered, and then dissolved in DMF. The resulting polymer solution was re-precipitated into methanol, filtered, washed repeatedly with methanol, and dried under vacuum to give a yellowish fibrous powder (1.77 g). The product was soluble in MIBK and has a Tg of 171° C. A film was cast from MIBK and measured to have Δn 0.0086 @ 633 nm.

Example 19 Nitration of Poly(4-methylstyrene)

This example illustrates that the nitro group can be incorporated onto positions other than the para position of styrene and still enhance the birefringence of the polymer film.

Poly(4-methylstyrene) (5.0 g; available from Scientific Polymer Products, Inc.; MW 100K) was stirred and dissolved in (100 g) in a three-neck round-bottom flask equipped with a mechanical stirrer. To the stirred mixture was added a mixed acid (nitro/styrene equivalent ratio=2/1) consisting of nitric acid (8.6 g) and concentrated sulfuric acid (17.2 g) dropwise in a period of 30 min. The mixture was allowed to react at room temperature under nitrogen for a total of 20 hours. The resulting yellow mixture was poured into diluted sodium hydroxide in water and organic layer separated, which was subsequently precipitated into methanol to give a solid mass. The solid was dissolved in N,N-dimethylformamide (DMF) and re-precipitated into methanol. The resulting heterogeneous mixture was stirred for two hours, filtered, washed repeatedly with methanol, and dried under vacuum to give a slightly yellowish fibrous powder. The product (about 95% yield) was soluble in cyclopentanone but not in MIBK or toluene. A film cast from cyclopentanone showed a positive birefringence of 0.0060 at 633 nm. (The starting material, poly(4-methylstyrene), was determined to have Δn=0.0017 at 633 nm.)

Comparative Example 20 Substituted Polystyrenes Having Low Positive Birefringence Values

This example shows that, in contrast to the BES-substituted polystyrenes of the present invention, the following substituted polystyrenes have low positive birefringence values.

TABLE 3 Birefringence at 633 nm (solvent used for film Molecular Weight casting) Polystyrene 280K 0.0012 (Toluene); 0.0020 (Cp) Poly(4-methylstyrene) 100K 0.0017 (Toluene) Poly(4-methoxystyrene) 400K 0.0028 (Toluene); 0.0024 (Cp) Poly(4-chlorostyrene) N/A 0.0020 (Toluene); 0.0022 (Cp)

Example 21 Preparation of Poly(4-vinylbiphenyl) by bulk polymerization

4-Vinylbiphenyl (1.38 g) was charged to a Schlenk tube. The tube was stoppered, evacuated by pulling vacuum, and then filled with argon gas. The tube was evacuated and then refilled with argon four more times. While under a positive pressure of argon, the tube was immersed into an oil bath maintained at 130° C. for 1.5 hours. After cooling to room temperature, the solid plug of material was dissolved in tetrahydrofuran (THF). The solution was added in a dropwise manner into 500 mL of rapidly stirring methanol, causing the polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was then dissolved in fresh THF and reprecipitated by dropwise addition into rapidly stirring methanol. After collection by filtration and drying, the resulting polymer was found to have MW of 396,000 g/mol and a Tg of 150° C. A film cast from cyclopentanone showed a positive birefringence of 0.0071 at 633 nm.

Example 22 Preparation of Poly(4-cyanostyrene) by solution polymerization

4-Cyanostyrene (1.65 g), azo-bis-isobutyronitrile (AIBN, 11 mg) and N,N-dimethylacetamide (DMAc, 1.65 g) were charged to a 50 mL round bottom flask containing a Teflon-coated magnetic stirbar. The reaction mixture was degassed by bubbling dry argon gas through the stirring reaction mixture for 15 minutes. The vessel contents were then kept under a positive pressure of argon and immersed into an oil bath maintained at 60° C. for 2.5 hours. The contents of the vessel were diluted with 25 mL of DMAc after cooling the reaction mixture to room temperature. The resulting solution was slowly poured into 500 mL of rapidly stirring methanol, causing the resulting polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was then dissolved in fresh DMAc and reprecipitated by dropwise addition into rapidly stirring methanol. After collection by filtration and drying, the resulting polymer was found to have MW of 842,000 g/mol and a Tg of 184° C. A film cast from cyclopentanone showed a positive birefringence of 0.0103 at 633 nm.

Comparative Example 23 Vinyl Polymers Having High Tg and Low Positive Birefringence

Polymers 1-5 were synthesized by free-radical solution polymerization and their Tg and birefringence values determined as listed in the following table:

TABLE 4 Polymer Structure Tg (° C.) Δn at 633 nm 1 Poly(2-phenylaminocarbonylstyrene)

200 0.0032 2 Poly(4-cyanophenylmethacrylate)

161 0.0009 3 Poly(methylcarboxyphenylmethacrylamide)

211 0.0011 4 Poly(isobornyl methacrylate)

191 0.0006 5 Poly(phenyl methacrylamide)

160 0.0020 As shown in Table 4, Tg and positive birefringence are not directly proportional.

Example 24 Synthesis of Various Mesogen-Jacketed Polymers

The following mesogen-jacketed polymers were made by charging the vinyl mesogen monomers, benzoyl peroxide (BPO, 0.1-0.3% mole of monomers) and toluene or chlorobenzene to a polymerization tube containing a Teflon-coated magnetic stirbar. The reaction mixture was degassed by bubbling argon through for 15 minutes. The tube was then sealed and immersed into an oil bath maintained at 80° C. for one day. After cooling the reaction mixture to room temperature, it was slowly poured into rapidly stirring methanol, causing the resulting polymer to precipitate. The precipitated polymer was collected by filtration and dried in a vacuum oven.

1. Poly[2,5-bis(p-alkoxyphenyl)styrene]

wherein R₁=—OCH₂CH(CH₃)CH₂CH₃, R₂=—OCH₂CH₂OCH₃ Δn=0.0082

2. Poly{2,5-bis[5-(4-substitutedphenyl)-1,3,4-oxadiazole]styrene}

wherein R=—OC(CH₃)₃, —OC₆H₁₃, —OC₈H₁₇, —OC₁₀H₂₁, —OC₁₂H₂₅

R Mn (×10⁻⁴) Tg (° C.) Δn —OC(CH₃)₃ 16 201 0.0184 —OC₆H₁₃ 16 — 0.0355 —OC₈H₁₇ 23 141 0.0362 —OC₁₀H₂₁ 23 — 0.0295 —OC₁₂H₂₅ — 150 0.0229

3. Poly{3,5-bis[5-(4-ter-butylphenyl)-1,3,4-oxadiazole]styrene}

4. Poly{4-[5-(4-substitutedphenyl)-1,3,4-oxadiazole]styrene} and Poly{2-[5-(4-substitutedphenyl)-1,3,4-oxadiazole]styrene}

wherein R=phenyl, Δn=0.009

wherein R=—OC₈H₁₇, Tg=130° C., Δn=0.009; R=phenyl, Δn=0.009

5. Poly{2-(naphthalen-2-yl)-5-(prop-1-en-2-yl)-1,3,4-oxadiazole}

6. Triazole Based Mesogen-Jacketed Polymers

wherein

-   -   Ar₁=4-(dodecyloxy)phenyl, Ar2=t-butyl; Δn=0.0045     -   Ar₁=4-(octyloxy)phenyl, Ar2=4-(octyloxy)biphenyl; Δn=0.011     -   Ar₁=4-(dodecyloxy)phenyl, Ar2=biphenyl; Δn=0.010     -   Ar₁=4-(dodecyloxy)biphenyl, Ar2=biphenyl; Δn=0.024

The following mesogen-jacketed polymers are suitable for the practice of this invention as well.

7. Poly-2,5-bis[(4-substitutedbenzoyl)oxy]styrene

8. Poly-2,5-bis(4-substitutedbenzamido)styrene

9. Poly-2,5-bis[(4-substitutedphenyloxy)carbonyl]styrene

10. Poly{2,5-bis[(4-methoxyphenyloxy)carbonyl]styrene-b-styrene}

wherein m=2000, n=600, Tg: 100° C. and 120° C., Δn=0.010

Example 25 Poly(2-vinyl naphthalene)

The buttressing factor B was calculated for a naphthalene ring OASU. Poly(2-vinyl naphthalene) has the same backbone structure as polystyrene (PS) and thus D is calculated the same as for polystyrene, yielding D=0.25 nm. The attaching atom of the OASU is the 2-position carbon atom on the naphthalene ring. All of the carbon-carbon bond lengths of the naphthalene ring are 0.14 nm, all bond angles of the naphthalene ring are 120°, and all carbon-hydrogen bond lengths of the naphthalene ring are 0.11 nm as shown in FIG. 7 b. When parallel lines are drawn through the center of each atom of the OASU, as shown in FIG. 7 c, of the bond angles of bonds 1, 2, 3, 4 and 5 with respect to the horizontal length of the OASU are all 30°. The left-most and right-most atoms are hydrogen atoms and have van der waals radii of 0.12 nm. Thus, R is calculated by:

R=(0.11 nm*cos 30°)+(0.14 nm*cos 30°)+(0.14 nm*cos 30°)+(0.14 nm*cos 30°+(0.11 nm*cos 30°)+0.12 nm+0.12 nm=0.79 nm.

The buttressing factor is calculated by B=R/D:

B=R/D=0.79 nm/0.25 nm=3.2.

This R/D value is bigger than PS and thus lead to a stronger buttressing effect and higher positive birefringence as compared to PS. Also, the naphthalene OASU has a bigger Δn^(OASU) than PS, which enhanced the overall Δn. The solution cast poly(2-vinyl naphthalene) film showed a positive birefringence of 0.0073 at 633 nm.

Example 26 polyvinylpyrene (PVPr)

The buttressing factor B was calculated for a pyrene OASU. PVPr has the same backbone structure as polystyrene (PS) and thus D is calculated the same as for PS, yielding D=0.25 nm. The attaching atom of the OASU is a carbon atom on the pyrene ring. All of the carbon-carbon bond lengths of the pyrene ring are 0.14 nm, all bond angles of the pyrene ring are 120°, and all carbon-hydrogen bond lengths of the pyrene ring are 0.11 nm shown in FIG. 8 b. When parallel lines are drawn through the center of each atom of the OASU, the bond angles of bonds 1, 2, 3, 4, 5, 6 and 7 with respect to the horizontal length of the OASU as shown in FIG. 8 c are all 30°. The left-most and right-most atoms are hydrogen atoms and have van der waals radii of 0.12 nm. Thus, R is calculated by:

R=(0.11 nm×cos 30°)+(0.14 nm×cos 30°)+(0.14 nm×cos 30°)+(0.14 nm×cos 30°)+(0.14 nm×cos 30°)+(0.14 nm×cos 30°)+(0.11 nm×cos 30°)+0.12 nm+0.12 nm=1.04 nm

The buttressing factor is calculated by B=R/D:

B=R/D=1.04/0.25=4.1

This R/D value is bigger than PS and thus lead to stronger buttressing effect and higher positive birefringence as compared to PS. Also, the pyrene OASU has a bigger Δn^(OASU) than PS, which enhanced the final Δn. The solution cast PVPr film showed a positive birefringence of 0.0051 at 633 nm.

Example 27 Substituted Polystyrene

A BES at the 4-position of benzene ring enhanced the birefringence of polystyrene without changing its buttressing effect. Polystyrene was substituted at the 4-position with the following BES: Cl, Br, I, CN, NO₂, and phenyl. Each BES-substituted polystyrene had the same buttressing factor (R/D value) as unsubstituted polystyrene but exhibited enhanced birefringence. Using the highly polarizable and polar NO₂ group enhanced the birefringence of BES-substituted polystyrene to as high as 0.0209.

Example 28 Mesogen-Jacketed Polymer

The buttressing factor was calculated for the mesogen OASU depicted above. The mesogen OASU has the same backbone structure as polystyrene (PS) and thus D is calculated the same as for PS, yielding 0.25 nm. The attaching atom of the OASU is a carbon atom on the middle benzene ring of the mesogen OASU. All of the carbon-carbon bond lengths of the benzene rings are 0.14 nm, all bond angles of the benzene rings are 120°, the carbon-carbon bond between two benzene rings is 0.15 nm, and all carbon-oxygen bond lengths of the mesogen are 0.14 nm shown in FIG. 9. The length between carbon 1 and carbon 4 of the benzene rings (depicted as lines 2, 4 and 6 in FIG. 9) is 0.28 nm. Although the three benzene rings don't lie in the same plane because the OASU may twist on its axis, the benzene rings maintain a linear alignment. When the two oxygen atoms are connected by a straight line as shown in FIG. 9, the 1-, 4-carbon atoms of all three benzene rings lie on that line. When parallel lines are drawn through the center of each atom of the OASU, the bond angles of bonds 1, 3, 5 and 7 and lines 2, 4 and 6 with respect to the horizontal length of the OASU as shown in FIG. 9 are all 30°. The left-most and right-most atoms are oxygen atoms and have van der waals radii of 0.15 nm. The R₁ and R₂ alkyl groups are not included in the calculation of R because their bonds are flexible. Thus, R is calculated by:

R=(0.14 nm×cos 30°)+(0.28 nm×cos 30°)+(0.15 nm×cos 30°)+(0.28 nm×cos 30°)+(0.15 nm×cos 30°)+(0.28 nm×cos 30°)+(0.14 nm×cos 30°)+0.15 nm+0.15 nm=1.53 nm

The buttressing factor is calculated by B=R/D:

B=R/D=1.53/0.25=6.1

This R/D value is bigger than PS and thus lead to stronger buttressing effect and higher positive birefringence as compared to PS. Also, this mesogen OASU has a bigger Δn^(OASU) than PS, which enhanced the final Δn. The solution cast this mesogen jacket polymer film (with R₁ as —OCH₂CH₂OCH₃, and R₂ as —CH₂CH(CH₃)CH₂CH₃) showed a positive birefringence of 0.0082 at 633 nm.

Example 29 Preparation of Poly(N-vinyl-4-tert-butylphthalimide) by solution polymerization

N-Vinyl-4-tert-butylphthalimide (2.0 g), chlorobenzene (6.0 g), and benzoyl peroxide (2.1 mg) were charged to a Schlenk tube containing a Teflon-coated magnetic stirbar. The tube was stoppered and degassed through the sidearm by three freeze-pump-thaw cycles. While under a positive pressure of argon, the reaction tube was immersed into an oil bath maintained at 85° C. for 3 hours with constant stirring. After cooling to room temperature, the resulting viscous solution was diluted with 10 mL of tetrahydrofuran (THF) and added in a dropwise manner into 500 mL of rapidly stirring methanol, causing the polymer to precipitate. The precipitated polymer was collected by filtration and dried by pulling air through the material on a filter pad. The polymer was reprecipitated twice more from fresh THF solution by dropwise addition into methanol. After collection by filtration and drying, the resulting polymer was found to be soluble in MIBK and toluene and had a Tg of 215° C. and a weight average molecular weight (Mw): 643, 000. A film cast from toluene showed a positive birefringence of 0.0094 at 633 nm.

Example 30 UV Spectra of Various Mesogen-Jacketed Polymers

The following table is a collection of the absorption maximum (λmax) and the birefringence (Δn) measured at the wavelength of 633 nm for each polymer. The first five polymers (PC6, PC8, PC10, PC12, PCt) are poly{2,5-bis[(4-alkyloxyphenyl)-1,3,4-oxadiazole]styrene} with the following chemical structure:

wherein R₁ and R₂ are defined in Table 5 below.

Sample XCt is poly{3,5-bis[(4-ter-butylphenyl)-1,3,4-oxadiazole]styrene} with the following chemical structure:

TABLE 5 Sample R₁ = R₂ λmax, nm Δn(633) PC6 —OC₆H₁₃ 319.8 0.0355 PC8 —OC₈H₁₇ 319.1 0.0362 PC10 —OC₁₀H₂₁ 315.7 0.0295 PC12 —OC₁₂H₂₅ 319.8 0.0229 PCt —C(CH₃)₃ 309.6 0.0184 XCt N/A 281.6 0.0117

UV-Visible Spectrophotomer (UV-2450) from Shimadzu (Japan) was used to obtain UV spectrum of the above polymers, shown in Figure X. λ_(max) is the wavelength of the absorption maximum. Δn₍₆₃₃₎ was measured with Prism Coupler (Model 2010) from Mitricon Corp.

The present invention is not to be limited in scope by the specific embodiments described herein which are intended as single illustrations of individual aspects of the invention, and functionally equivalent methods and components are within the scope of the invention. Indeed, various modifications of the invention, in addition to those shown and described herein will become apparent to those skilled in the art from the foregoing description and accompanying drawings. Such modifications are intended to fall within the scope of the claims. Various publications are cited herein, the contents of which are hereby incorporated, by reference, in their entireties. 

1. A method for controlling positive birefringence in a compensation film for liquid crystal display comprising: (a) selecting a polymer having controlled negative segment birefringence wherein the polymer comprises a polymer segment having a polymer backbone, a light-stable optically anisotropic sub-unit (OASU) attached directly to the polymer backbone via at least one covalent bond; wherein the negative segment birefringence of the polymer is controlled by selecting an OASU such that R/D>about 2.7, wherein R represents the maximum dimension of the OASU in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the polymer backbone between the attaching points of two neighboring OASUs, which selection of OASU affects the rigidity and long-range linear corkscrew shape of the polymer backbone such that the average orientation of the OASU is perpendicular to the polymer backbone, and the higher the perpendicularity of the OASUs, the larger the value of the negative segment birefringence of the polymer segment; and (b) processing the polymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the polymer has a negative segment order parameter (O^(s)) and the polymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.
 2. The method of claim 1 wherein the polymer comprises a moiety of

wherein R₁, R₂, and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, wherein OASU is a disk-like group or a mesogen, and wherein OASU is attached to the polymer backbone through a single covalent bond.
 3. The method of claim 1 wherein the polymer comprises a moiety of

wherein R₁ and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens, wherein OASU is a disk-like group or a mesogen, and wherein OASU is attached to the polymer backbone through two independent covalent bonds.
 4. The method of claim 3, wherein the polymer moiety is selected from the group consisting of the following structure:


5. The method of claim 1 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 6. The polymer film of claim 5 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 7. The polymer film of claim 6, wherein the free-standing film is uniaxially or biaxially stretched.
 8. The polymer film of claim 6, wherein the free-standing film is attached to a substrate by means of lamination.
 9. The polymer film of claim 7, wherein the free-standing film is attached to a substrate by lamination.
 10. The method of claim 1 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 11. The polymer film of claim 10 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 12. The polymer film of claim 11, wherein the free-standing film is uniaxially or biaxially stretched.
 13. The polymer film of claim 11, wherein the free-standing film is attached to a substrate by means of lamination.
 14. The polymer film of claim 12, wherein the free-standing film is attached to a substrate by lamination.
 15. The method of claim 1 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 16. The polymer film of claim 15 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 17. The polymer film of claim 16, wherein the free-standing film is uniaxially or biaxially stretched.
 18. The polymer film of claim 16, wherein the free-standing film is attached to a substrate by means of lamination.
 19. The polymer film of claim 17, wherein the free-standing film is attached to a substrate by lamination.
 20. The method of claim 1 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 21. The polymer film of claim 20 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 22. The polymer film of claim 21, wherein the free-standing film is uniaxially or biaxially stretched.
 23. The polymer film of claim 21, wherein the free-standing film is attached to a substrate by means of lamination.
 24. The polymer film of claim 22, wherein the free-standing film is attached to a substrate by lamination.
 25. The method of claim 1 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.03 throughout the wavelength range of 400 nm<λ<800 nm.
 26. The polymer film of claim 25 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 27. The polymer film of claim 26, wherein the free-standing film is uniaxially or biaxially stretched.
 28. The polymer film of claim 26, wherein the free-standing film is attached to a substrate by means of lamination.
 29. The polymer film of claim 27, wherein the free-standing film is attached to a substrate by lamination.
 30. The method of claim 1 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 31. The method of claim 1 wherein polymer composition is soluble in toluene or methyl isobutyl ketone.
 32. The method of claim 1 wherein the compensation film is used in a liquid crystal display device.
 33. The method of claim 32 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 34. The method of claim 32 wherein the liquid crystal display device is used as a screen for a television or computer.
 35. The method of claim 1 wherein the OASU is a disk, wherein the disk comprises a fused ring structure having at least two rings.
 36. The method of claim 35 wherein the polymer is a homopolymer.
 37. The method of claim 36 wherein the fused ring structure is an aromatic imide or lactam.
 38. The method of claim 36 wherein the disk is selected from the group consisting of naphthalene, anthracene, pyrene, and phthalimide.
 39. The method of claim 36 wherein the disk is selected from the group consisting of the following structures, wherein the disk is attached to the polymer backbone via a carbon atom on a benzene ring or a nitrogen atom on an imide or lactam group:


40. The method of claim 36 wherein the homopolymer is a reaction product of a monomer selected from the group consisting of:


41. The method of claim 36 wherein the polymer is poly(2-vinylnaphthalene).
 42. The method of claim 41 wherein the poly(2-vinylnaphthalene) is prepared by emulsion polymerization and has an average molecular weight of greater than 300,000 g/mol.
 43. The polymer film of claim 36 wherein the polymer is poly(N-vinyl-4-tert-butylphthalimide).
 44. The method of claim 36 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 300 nm<λ<800 nm.
 45. The method of claim 36 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 46. The method of claim 36 wherein the polymer is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 47. The method of claim 36 wherein the polymer is soluble in toluene or methyl isobutyl ketone.
 48. The method of claim 36 wherein the compensation film is used in a liquid crystal display device.
 49. The method of claim 48 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 50. The method of claim 48 wherein the liquid crystal display device is used as a screen for a television or computer.
 51. The method of claim 1 wherein the OASU is a rod-like mesogen.
 52. The method of claim 51 wherein the mesogen has the structure R¹-(A¹-Z¹)_(m)-A²-(Z²-A³)_(n)-R² wherein A¹, A², and A³ are each independently aromatic or cycloaliphatic rings, wherein the rings are all-carbon or heterocyclic, wherein the rings are unsubstituted, mono- or poly-substituted with halogen, cyano or nitro groups or alkyl, alkoxy, or alkanoyl groups having 1 to 8 carbon atoms; wherein Z¹, Z², and Z³ are each independently —COO—, —OOC—, —CO—, —CONH—, —NHCO—, —CH═CH—, —C≡C—, —CH═N—, —N═CH—, —N═N—, —O—, —S—, or a single bond; wherein R¹ and R² are each independently halogen, cyano, nitro, or alkyl, alkoxy, or alkanoyl groups having 1 to 25 carbon atoms, or are (Z²-A³) as defined above; wherein m is 0, 1, or 2; and wherein n is 1 or
 2. 53. The method of claim 52 wherein m is 1 or 2, n is 1 or 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².
 54. The method of claim 52 wherein m is 2, n is 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².
 55. The method of claim 51 wherein the polymer is a homopolymer.
 56. The method of claim 55 wherein the mesogen is selected from the group consisting of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on a benzene ring


57. The method of claim 55 wherein the mesogen is selected from the group consisting of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on the center 1,4-phenylene:


58. The method of claim 55 wherein the polymer is a reaction product of a monomer selected from the group consisting of:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 59. The method of claim 55 wherein the polymer is a reaction product of a monomer selected from the group consisting of:


60. The method of claim 55 wherein a moiety in the polymer backbone is selected from the group consisting of the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 61. The method of claim 55 wherein a moiety in the polymer backbone is selected from the group consisting of the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 62. The method of claim 55 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 63. The polymer film of claim 62 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 64. The polymer film of claim 63, wherein the free-standing film is uniaxially or biaxially stretched.
 65. The polymer film of claim 63, wherein the free-standing film is attached to a substrate by means of lamination.
 66. The polymer film of claim 64, wherein the free-standing film is attached to a substrate by lamination.
 67. The method of claim 55 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 68. The polymer film of claim 67 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 69. The polymer film of claim 68, wherein the free-standing film is uniaxially or biaxially stretched.
 70. The polymer film of claim 68, wherein the free-standing film is attached to a substrate by means of lamination.
 71. The polymer film of claim 69, wherein the free-standing film is attached to a substrate by lamination.
 72. The method of claim 55 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 73. The polymer film of claim 72 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 74. The polymer film of claim 73, wherein the free-standing film is uniaxially or biaxially stretched.
 75. The polymer film of claim 73, wherein the free-standing film is attached to a substrate by means of lamination.
 76. The polymer film of claim 74, wherein the free-standing film is attached to a substrate by lamination.
 77. The method of claim 55 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 78. The polymer film of claim 77 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 79. The polymer film of claim 78, wherein the free-standing film is uniaxially or biaxially stretched.
 80. The polymer film of claim 78, wherein the free-standing film is attached to a substrate by means of lamination.
 81. The polymer film of claim 79, wherein the free-standing film is attached to a substrate by lamination.
 82. The method of claim 55 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.03 throughout the wavelength range of 400 nm<λ<800 nm.
 83. The polymer film of claim 82 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 84. The polymer film of claim 83, wherein the free-standing film is uniaxially or biaxially stretched.
 85. The polymer film of claim 83, wherein the free-standing film is attached to a substrate by means of lamination.
 86. The polymer film of claim 84, wherein the free-standing film is attached to a substrate by lamination.
 87. The method of claim 55 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 88. The method of claim 55 wherein polymer composition is soluble in toluene or methyl isobutyl ketone.
 89. The method of claim 55 wherein the compensation film is used in a liquid crystal display device.
 90. The method of claim 89 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 91. The method of claim 89 wherein the liquid crystal display device is used as a screen for a television or computer.
 92. A method for controlling positive birefringence in a compensation film for liquid crystal display comprising: (a) selecting a copolymer having controlled negative segment birefringence wherein the copolymer comprises a moiety:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a group wherein R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of a residue of an ethylenically unsaturated monomer; wherein disk is an optically anisotropic subunit (OASU) having a fused ring structure comprising at least two rings, wherein the disk is attached directly to the copolymer backbone via at least one covalent bond; wherein the negative segment birefringence of the copolymer is controlled by selecting a disk such that R/D>about 2.7, wherein R represents the maximum dimension of the disk in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of disk and R⁶, which selection of disk affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the disk is perpendicular to the copolymer backbone, and the higher the perpendicularity of the disks, the larger the value of the negative segment birefringence of the polymer segment; and (b) processing the copolymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.
 93. The method of claim 92 wherein R⁶ is an OASU.
 94. The method of claim 93 wherein R⁶ is a disk.
 95. The method of claim 92 wherein the copolymer comprises at least two different disks.
 96. The method of claim 92 wherein the disk is an aromatic imide or lactam.
 97. The method of claim 96 wherein monomers of the copolymer further comprise styrene.
 98. The method of claim 92 wherein at least one disk is selected from the group consisting of naphthalene, anthracene, pyrene, and phthalimide.
 99. The method of claim 98 wherein monomers of the copolymer further comprise styrene.
 100. The method of claim 92 wherein at least one disk is selected from the group consisting of the following structures, wherein the disk is attached to the polymer backbone via a carbon atom on a benzene ring or a nitrogen atom on an imide or lactam group:


101. The method of claim 100 wherein monomers of the copolymer further comprise styrene.
 102. The method of claim 92 wherein the copolymer is a reaction product of monomers, wherein at least one monomer is selected from the group consisting of:


103. The method of claim 102 wherein the monomers of the copolymer further comprise styrene.
 104. The method of claim 92 wherein at least one ethylenically unsaturated monomer is selected from the group consisting of styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, and 4-t-butylstyrene.
 105. The method of claim 92 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 106. The method of claim 92 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 107. The method of claim 92 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 108. The method of claim 92 wherein polymer composition is soluble in toluene or methyl isobutyl ketone.
 109. The method of claim 92 wherein the compensation film is used in a liquid crystal display device.
 110. The method of claim 109 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 111. The method of claim 109 wherein the liquid crystal display device is used as a screen for a television or computer.
 112. A method for controlling positive birefringence in a compensation film for liquid crystal display comprising: (a) selecting a copolymer having controlled negative segment birefringence wherein the copolymer comprises a moiety:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer; wherein Mesogen is a rod-like optically anisotropic subunit (OASU) attached directly to the polymer backbone via at least one covalent bond; wherein the negative segment birefringence of the copolymer is controlled by selecting a Mesogen such that R/D>about 2.7, wherein R represents the maximum dimension of the Mesogen in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of Mesogen and R⁶, which selection of Mesogen affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the Mesogen is perpendicular to the copolymer backbone, and the higher the perpendicularity of the Mesogens, the larger the value of the negative segment birefringence of the copolymer segment; and (b) processing the copolymer having a controlled negative segment birefringence by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.
 113. The method of claim 112 wherein R⁶ is an OASU.
 114. The method of claim 113 wherein R⁶ is a mesogen.
 115. The method of claim 112 wherein the mesogen has the structure R¹-(A¹-Z¹)_(m)-A²-(Z²-A³)_(n)-R² wherein A¹, A², and A³ are each independently aromatic or cycloaliphatic rings, wherein the rings are all-carbon or heterocyclic, wherein the rings are unsubstituted, mono- or poly-substituted with halogen, cyano or nitro groups or alkyl, alkoxy, or alkanoyl groups having 1 to 8 carbon atoms; wherein Z¹, Z², and Z³ are each independently —COO—, —OOC—, —CO—, —CONH—, —NHCO—, —CH═CH—, —C≡C—, —CH═N—, —N═CH—, —N═N—, —O—, —S—, or a single bond; wherein R¹ and R² are each independently halogen, cyano, nitro, or alkyl, alkoxy, or alkanoyl groups having 1 to 25 carbon atoms, or are (Z²-A³) as defined above; wherein m is 0, 1, or 2; and wherein n is 1 or
 2. 116. The method of claim 115 wherein m is 1 or 2, n is 1 or 2, A² is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².
 117. The method of claim 115 wherein m is 2, n is 2, A is 1,4-phenylene, and the mesogen is attached to the polymer backbone through A².
 118. The method of claim 112 wherein the copolymer comprises at least two different mesogen groups.
 119. The method of claim 112 wherein at least one mesogen is selected from the group consisting of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on a benzene ring:


120. The method of claim 119 wherein monomers of the copolymer further comprise styrene.
 121. The method of claim 112 wherein at least one mesogen is selected from the group consisting of the following structures, wherein the mesogen is attached to the polymer backbone via a carbon atom on the center 1,4-phenylene:


122. The method of claim 121 wherein monomers of the copolymer further comprise styrene.
 123. The method of claim 112 wherein the copolymer is a reaction product of monomers, wherein at least one monomer is selected from the group consisting of:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 124. The method of claim 123 wherein the monomers of the copolymer further comprise styrene.
 125. The method of claim 112 wherein the copolymer is a reaction product of monomers, wherein at least one monomer is selected from the group consisting of:


126. The method of claim 125 wherein the monomers of the copolymer further comprise styrene.
 127. The method of claim 112 wherein at least one moiety in the copolymer backbone is selected from the group consisting of the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 128. The method of claim 127 wherein monomers of the copolymer further comprise styrene.
 129. The method of claim 112 wherein at least one moiety in the copolymer backbone is selected from the group consisting of the following structures, wherein R¹, R² and R³ are each independently hydrogen, alkyl group, substituted alkyl group or halogen:

wherein the polymer has a positive birefringence greater than about 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 130. The method of any one of claims 129 wherein monomers of the copolymer further comprises styrene.
 131. The method of claim 112 wherein at least one ethylenically unsaturated monomer is selected from the group consisting of styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, and 4-t-butylstyrene.
 132. The method of claim 112 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 133. The polymer film of claim 132 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 134. The polymer film of claim 133, wherein the free-standing film is uniaxially or biaxially stretched.
 135. The polymer film of claim 133, wherein the free-standing film is attached to a substrate by means of lamination.
 136. The polymer film of claim 134, wherein the free-standing film is attached to a substrate by lamination.
 137. The method of claim 112 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 138. The polymer film of claim 137 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 139. The polymer film of claim 138, wherein the free-standing film is uniaxially or biaxially stretched.
 140. The polymer film of claim 138, wherein the free-standing film is attached to a substrate by means of lamination.
 141. The polymer film of claim 139, wherein the free-standing film is attached to a substrate by lamination.
 142. The method of claim 112 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 143. The polymer film of claim 142 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 144. The polymer film of claim 143, wherein the free-standing film is uniaxially or biaxially stretched.
 145. The polymer film of claim 143, wherein the free-standing film is attached to a substrate by means of lamination.
 146. The polymer film of claim 144, wherein the free-standing film is attached to a substrate by lamination.
 147. The method of claim 112 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.02 throughout the wavelength range of 400 nm<λ<800 nm.
 148. The polymer film of claim 147 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 149. The polymer film of claim 148, wherein the free-standing film is uniaxially or biaxially stretched.
 150. The polymer film of claim 148, wherein the free-standing film is attached to a substrate by means of lamination.
 151. The polymer film of claim 149, wherein the free-standing film is attached to a substrate by lamination.
 152. The method of claim 112 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.03 throughout the wavelength range of 400 nm<λ<800 nm.
 153. The polymer film of claim 152 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 154. The polymer film of claim 153, wherein the free-standing film is uniaxially or biaxially stretched.
 155. The polymer film of claim 153, wherein the free-standing film is attached to a substrate by means of lamination.
 156. The polymer film of claim 154, wherein the free-standing film is attached to a substrate by lamination.
 157. The method of claim 112 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 158. The method of claim 112 wherein polymer composition is soluble in toluene or methyl isobutyl ketone.
 159. The method of claim 112 wherein the compensation film is used in a liquid crystal display device.
 160. The method of claim 159 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 161. The method of claim 159 wherein the liquid crystal display device is used as a screen for a television or computer.
 162. A method for controlling positive birefringence in a compensation film for liquid crystal display comprising: (a) selecting a polymer having controlled negative segment birefringence wherein the polymer comprises a polymer segment having a polymer backbone and a light-stable optically anisotropic sub-unit (OASU) comprising an aromatic ring and at least one birefringence enhancing substituent (BES) attached to the aromatic ring, wherein the Ar-BES is attached directly to the polymer backbone via at least one covalent bond, wherein the negative segment birefringence of the polymer is controlled by selecting an Ar-BES such that R/D is at least about 2.6, wherein R represents the maximum dimension of the Ar-BES in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the polymer backbone between the attaching points of two neighboring Ar-BESs, which selection of Ar-BES affects the rigidity and long-range linear corkscrew shape of the polymer backbone such that the average orientation of the Ar-BES is perpendicular to the polymer backbone, and the higher the perpendicularity of the Ar-BESs, the larger the value of the negative segment birefringence of the polymer; and (b) processing the polymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the polymer has a negative segment order parameter (O^(s)) and the polymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.
 163. The method of claim 162 wherein the polymer comprises a moiety of

wherein R₁, R₂, and R₃ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; Ar is an aromatic ring; and BES represents at least one birefringence enhancing substituent.
 164. The method of claim 162 wherein the polymer is a homopolymer.
 165. The method of claim 164 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 166. The polymer film of claim 165 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 167. The polymer film of claim 166, wherein the free-standing film is uniaxially or biaxially stretched.
 168. The polymer film of claim 166, wherein the free-standing film is attached to a substrate by means of lamination.
 169. The polymer film of claim 167, wherein the free-standing film is attached to a substrate by lamination.
 170. The method of claim 164 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 171. The polymer film of claim 170 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 172. The polymer film of claim 171, wherein the free-standing film is uniaxially or biaxially stretched.
 173. The polymer film of claim 171, wherein the free-standing film is attached to a substrate by means of lamination.
 174. The polymer film of claim 172, wherein the free-standing film is attached to a substrate by lamination.
 175. The method of claim 164 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 176. The polymer film of claim 175 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 177. The polymer film of claim 176, wherein the free-standing film is uniaxially or biaxially stretched.
 178. The polymer film of claim 176, wherein the free-standing film is attached to a substrate by means of lamination.
 179. The polymer film of claim 177, wherein the free-standing film is attached to a substrate by lamination.
 180. The method of claim 164 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 181. The method of claim 180 wherein BES is nitro- or bromo-.
 182. The method of claim 164 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene or methyl isobutyl ketone or a mixture thereof.
 183. The method of claim 182 wherein BES is nitro- or bromo-.
 184. The method of claim 164 wherein the compensation film is used in a liquid crystal display device.
 185. The method of claim 184 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 186. The method of claim 184 wherein the liquid crystal display device is used as a screen for a television or computer.
 187. The method of claim 164 further comprising controlling the degree of substitution of the BES by adjusting starting amounts of BES in a reaction mixture.
 188. The method of claim 164 wherein the degree of substitution of the BES is greater than 0.5.
 189. The method of claim 164 wherein the BES is selected from the group consisting of nitro-, bromo-, iodo-, cyano- and phenyl-.
 190. The method of claim 189 wherein the BES is nitro- or bromo-.
 191. The method of claim 164 wherein the aromatic ring is selected from the group consisting of benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, and triphenyl.
 192. The method of claim 191 wherein the aromatic ring is benzene.
 193. The method of claim 164 wherein BES is nitro- or bromo- and the aromatic ring is selected from the group consisting of benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, and triphenyl.
 194. The method of claim 164 wherein the polymer is poly(nitrostyrene).
 195. The method of claim 194 wherein the poly(nitrostyrene) has a positive birefringence greater than 0.007 throughout the wavelength range of 400 nm<λ<800 nm.
 196. The method of claim 195 wherein the poly(nitrostyrene) has a degree of substitution greater than 0.7 for the nitro group.
 197. The method of claim 194 wherein the poly(nitrostyrene) has a degree of substitution greater than 0.5 for the nitro group.
 198. The method of claim 194 wherein the poly(nitrostyrene) has a degree of substitution greater than 0.7 for the nitro group.
 199. The method of claim 194 wherein BES comprises para-nitro groups.
 200. The method of claim 194 wherein BES consists of para-nitro groups.
 201. The method of claim 200 wherein the poly(nitrostyrene) has a degree of substitution greater than 0.7 for the nitro group.
 202. The method of claim 200 wherein the poly(nitrostyrene) has a degree of substitution greater than 0.5 for the nitro group.
 203. The method of claim 164 wherein the polymer is poly(bromostyrene).
 204. The method of claim 203 wherein the poly(bromostyrene) has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 205. The method of claim 204 wherein the poly(bromostyrene) has a degree of substitution greater than 0.7 for the bromo group.
 206. The method of claim 203 wherein the poly(bromostyrene) has a degree of substitution greater than 0.5 for the bromo group.
 207. The method of claim 203 wherein the poly(bromostyrene) has a degree of substitution greater than 0.7 for the bromo group.
 208. The method of claim 203 wherein BES comprises para-bromo groups.
 209. The method of claim 203 wherein BES consists of para-bromo groups.
 210. The method of claim 209 wherein the poly(bromostyrene) has a degree of substitution greater than 0.5 for the bromo group.
 211. The method of claim 209 herein the poly(bromostyrene) has a degree greater than 0.7 for the bromo group.
 212. A method for controlling positive birefringence in a compensation film for liquid crystal display comprising: (a) selecting a copolymer having controlled negative segment birefringence wherein the copolymer comprises a moiety:

wherein R¹, R², R³, R⁴, R⁵, and R⁷ are each independently hydrogen atoms, alkyl groups, substituted alkyl groups, or halogens; wherein R⁶ is a hydrogen atom, alkyl, substituted alkyl, halogen, ester, amide, ketone, ether, cyano, phenyl, epoxy, urethane, urea or optically anisotropic subunit (OASU) attached directly to the backbone of the residue of an ethylenically unsaturated monomer; wherein Ar-BES is an aromatic ring (Ar) substituted with at least one birefringence enhancing substituent (BES), wherein Ar-BES is attached directly to the copolymer backbone via at least one covalent bond; wherein the negative segment birefringence of the copolymer is controlled by selecting an Ar-BES such that R/D is at least about 2.6, wherein R represents the maximum dimension of the Ar-BES in the direction perpendicular to the direction of the vector sum of the at least one covalent bond and D represents the distance along the copolymer backbone between the attaching points of Ar-BES and R⁶, which selection of Ar-BES affects the rigidity and long-range linear corkscrew shape of the copolymer backbone such that the average orientation of the Ar-BES is perpendicular to the copolymer backbone, and the higher the perpendicularity of the Ar-BESs, the larger the value of the negative segment birefringence of the copolymer; and (b) processing the copolymer having a controlled negative segment birefringence (Δn^(s)) by solution casting onto a substrate, uniaxial stretching, biaxial stretching, or a combination thereof, wherein the copolymer has a negative segment order parameter (O^(s)) and the copolymer film has a positive birefringence (Δn) that satisfies the relation Δn=Δn^(s)×O^(s)>0.
 213. The method of claim 212 wherein R⁶ is an OASU.
 214. The method of claim 213 wherein R⁶ is an Ar-BES.
 215. The method of claim 212 wherein the copolymer comprises at least two different Ar-BES groups.
 216. The method of claim 212 wherein at least one ethylenically unsaturated monomer is selected from the group consisting of styrene, vinyl biphenyl, methyl methacrylate, butyl acrylate, acrylic acid, methacrylic acid, acrylonitrile, 2-ethylhexyl acrylate, and 4-t-butylstyrene.
 217. The method of claim 212 wherein at least one monomer of the copolymer further comprises styrene.
 218. The method of claim 212 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.002 throughout the wavelength range of 400 nm<λ<800 nm.
 219. The polymer film of claim 218 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 220. The polymer film of claim 219, wherein the free-standing film is uniaxially or biaxially stretched.
 221. The polymer film of claim 219, wherein the free-standing film is attached to a substrate by means of lamination.
 222. The polymer film of claim 220, wherein the free-standing film is attached to a substrate by lamination.
 223. The method of claim 212 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.005 throughout the wavelength range of 400 nm<λ<800 nm.
 224. The polymer film of claim 223 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 225. The polymer film of claim 224, wherein the free-standing film is uniaxially or biaxially stretched.
 226. The polymer film of claim 224, wherein the free-standing film is attached to a substrate by means of lamination.
 227. The polymer film of claim 225, wherein the free-standing film is attached to a substrate by lamination.
 228. The method of claim 212 wherein the compensation film is capable of forming an out-of-plane anisotropic alignment upon solvent evaporation without being subject to heat treatment, photo irradiation, or stretching and has a positive birefringence greater than 0.01 throughout the wavelength range of 400 nm<λ<800 nm.
 229. The polymer film of claim 228 wherein the compensation film is removed from the substrate upon drying to yield a free-standing film.
 230. The polymer film of claim 229, wherein the free-standing film is uniaxially or biaxially stretched.
 231. The polymer film of claim 229, wherein the free-standing film is attached to a substrate by means of lamination.
 232. The polymer film of claim 230, wherein the free-standing film is attached to a substrate by lamination.
 233. The method of claim 212 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene, methyl isobutyl ketone, cyclopentanone, and a mixture thereof.
 234. The method of claim 233 wherein BES is nitro- or bromo-.
 235. The method of claim 212 wherein polymer composition is soluble in a solvent selected from the group consisting of toluene or methyl isobutyl ketone or a mixture thereof.
 236. The method of claim 235 wherein BES is nitro- or bromo-.
 237. The method of claim 212 wherein the compensation film is used in a liquid crystal display device.
 238. The method of claim 237 wherein the liquid crystal display device is an in-plane switching liquid crystal display device.
 239. The method of claim 237 wherein the liquid crystal display device is used as a screen for a television or computer.
 240. The method of claim 212 further comprising controlling the degree of substitution of the BES.
 241. The method of claim 212 wherein the degree of substitution of the BES is greater than 0.5.
 242. The method of claim 212 wherein the BES is selected from the group consisting of nitro-, bromo-, iodo-, cyano- and phenyl-.
 243. The method of claim 242 wherein the BES is nitro- or bromo-.
 244. The method of claim 212 wherein the aromatic ring is selected from the group consisting of benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, and triphenyl.
 245. The method of claim 244 wherein the aromatic ring is benzene.
 246. The method of claim 212 wherein BES is nitro- or bromo- and the aromatic ring is selected from the group consisting of benzene, biphenyl, naphthalene, anthracene, phenanthrene, naphthacene, pentacene, and triphenyl.
 247. The method of claim 212 wherein the polymer is poly(nitrostyrene-co-styrene).
 248. The method claim 247 wherein the poly(nitrostyrene-co-styrene) has a degree of substitution greater than 0.5 for the nitro group.
 249. The method of claim 247 wherein the poly(nitrostyrene-co-styrene) has a degree of substitution greater than 0.7 for the nitro group.
 250. The method of claim 247 wherein BES comprises para-nitro groups.
 251. The method of claim 247 wherein BES consists of para-nitro groups.
 252. The method of claim 251 wherein the poly(nitrostyrene-co-styrene) has a degree of substitution greater than 0.5 for the nitro group.
 253. The method of claim 251 wherein the poly(nitrostyrene-co-styrene) has a degree of substitution greater than 0.7 for the nitro group.
 254. The method of claim 212 wherein the polymer is poly(bromostyrene-co-styrene).
 255. The method of claim 254 wherein the poly(bromostyrene-co-styrene) has a degree of substitution greater than 0.5 for the bromo group.
 256. The method of claim 254 wherein the poly(bromostyrene-co-styrene) has a degree of substitution greater than 0.7 for the bromo group.
 257. The method of claim 254 wherein BES comprises para-bromo groups.
 258. The method of claim 254 wherein BES consists of para-bromo groups.
 259. The method of claim 258 wherein the poly(bromostyrene-co-styrene) has a degree of substitution greater than 0.5 for the bromo group.
 260. The method of claim 258 wherein the poly(bromostyrene-co-styrene) has a degree of substitution greater than 0.7 for the bromo group. 